55913625600 has 1728 divisors, whose sum is σ = 250071494400. Its totient is φ = 10899947520.

The previous prime is 55913625569. The next prime is 55913625601. The reversal of 55913625600 is 652631955.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55913625601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2431027189 + ... + 2431027211.

It is an arithmetic number, because the mean of its divisors is an integer number (144717300).

Almost surely, 2^55913625600 is an apocalyptic number.

55913625600 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 55913625600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125035747200).

55913625600 is an abundant number, since it is smaller than the sum of its proper divisors (194157868800).

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

55913625600 is a wasteful number, since it uses less digits than its factorization.

55913625600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The spelling of 55913625600 in words is "fifty-five billion, nine hundred thirteen million, six hundred twenty-five thousand, six hundred".