55755296115200 has 960 divisors, whose sum is σ = 157869485706240. Its totient is φ = 19492577280000.

The previous prime is 55755296115157. The next prime is 55755296115241. The reversal of 55755296115200 is 251169255755.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120944242970 + ... + 120944243430.

It is an arithmetic number, because the mean of its divisors is an integer number (164447380944).

Almost surely, 2^{55755296115200} is an apocalyptic number.

55755296115200 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 55755296115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78934742853120).

55755296115200 is an abundant number, since it is smaller than the sum of its proper divisors (102114189591040).

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

55755296115200 is a wasteful number, since it uses less digits than its factorization.

55755296115200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 4725000, while the sum is 53.

The spelling of 55755296115200 in words is "fifty-five trillion, seven hundred fifty-five billion, two hundred ninety-six million, one hundred fifteen thousand, two hundred".