55125011842884 has 99 divisors (see below), whose sum is σ = 144711811762077. Its totient is φ = 18373801158864.

The previous prime is 55125011842819. The next prime is 55125011842903. The reversal of 55125011842884 is 48824811052155.

It is a happy number.

The square root of 55125011842884 is 7424622.

It is a perfect power (a square), and thus also a powerful number.

55125011842884 is a `hidden beast` number, since 5 + 5 + 1 + 2 + 501 + 18 + 42 + 8 + 84 = 666.

55125011842884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 4418193802500 + 50706818040384 = 2101950^2 + 7120872^2 .

It is a super-3 number, since 3×55125011842884³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55125011842884.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 3608358654 + ... + 3608373930.

Almost surely, 2^{55125011842884} is an apocalyptic number.

55125011842884 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

55125011842884 is the 7424622-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55125011842884

55125011842884 is an abundant number, since it is smaller than the sum of its proper divisors (89586799919193).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55125011842884 is an frugal number, since it uses more digits than its factorization.

55125011842884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30588 (or 15282 counting only the distinct ones).

The product of its (nonzero) digits is 4096000, while the sum is 54.

The spelling of 55125011842884 in words is "fifty-five trillion, one hundred twenty-five billion, eleven million, eight hundred forty-two thousand, eight hundred eighty-four".