55442595793200 has 720 divisors, whose sum is σ = 225431211479040. Its totient is φ = 11517859584000.

The previous prime is 55442595793181. The next prime is 55442595793229. The reversal of 55442595793200 is 239759524455.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4056075966 + ... + 4056089634.

It is an arithmetic number, because the mean of its divisors is an integer number (313098904832).

Almost surely, 2^{55442595793200} is an apocalyptic number.

55442595793200 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 55442595793200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112715605739520).

55442595793200 is an abundant number, since it is smaller than the sum of its proper divisors (169988615685840).

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

55442595793200 is a wasteful number, since it uses less digits than its factorization.

55442595793200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 60.

The spelling of 55442595793200 in words is "fifty-five trillion, four hundred forty-two billion, five hundred ninety-five million, seven hundred ninety-three thousand, two hundred".