55526353318800 has 1680 divisors, whose sum is σ = 246700451077248. Its totient is φ = 11690127360000.

The previous prime is 55526353318763. The next prime is 55526353318871. The reversal of 55526353318800 is 881335362555.

55526353318800 is a `hidden beast` number, since 5 + 5 + 5 + 26 + 3 + 533 + 1 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 13878116800 + ... + 13878120800.

Almost surely, 2^{55526353318800} is an apocalyptic number.

55526353318800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55526353318800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123350225538624).

55526353318800 is an abundant number, since it is smaller than the sum of its proper divisors (191174097758448).

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

55526353318800 is a wasteful number, since it uses less digits than its factorization.

55526353318800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4580 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 12960000, while the sum is 54.

The spelling of 55526353318800 in words is "fifty-five trillion, five hundred twenty-six billion, three hundred fifty-three million, three hundred eighteen thousand, eight hundred".