55001755542240 has 480 divisors, whose sum is σ = 213489659940480. Its totient is φ = 13250830196736.

The previous prime is 55001755542191. The next prime is 55001755542247. The reversal of 55001755542240 is 4224555710055.

55001755542240 is a `hidden beast` number, since 5 + 5 + 0 + 0 + 1 + 75 + 554 + 2 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×55001755542240² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55001755542247) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 4445596 + ... + 11391524.

It is an arithmetic number, because the mean of its divisors is an integer number (444770124876).

Almost surely, 2^{55001755542240} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55001755542240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106744829970240).

55001755542240 is an abundant number, since it is smaller than the sum of its proper divisors (158487904398240).

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

55001755542240 is a wasteful number, since it uses less digits than its factorization.

55001755542240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946016 (or 6945999 counting only the distinct ones).

The product of its (nonzero) digits is 1400000, while the sum is 45.

The spelling of 55001755542240 in words is "fifty-five trillion, one billion, seven hundred fifty-five million, five hundred forty-two thousand, two hundred forty".