55635453725600 has 144 divisors (see below), whose sum is σ = 155252029359168. Its totient is φ = 19071435018240.

The previous prime is 55635453725563. The next prime is 55635453725603. The reversal of 55635453725600 is 652735453655.

It is a super-2 number, since 2×55635453725600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (55635453725603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29014184 + ... + 30872216.

It is an arithmetic number, because the mean of its divisors is an integer number (1078139092772).

Almost surely, 2^{55635453725600} is an apocalyptic number.

55635453725600 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 55635453725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77626014679584).

55635453725600 is an abundant number, since it is smaller than the sum of its proper divisors (99616575633568).

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

55635453725600 is a wasteful number, since it uses less digits than its factorization.

55635453725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1863407 (or 1863394 counting only the distinct ones).

The product of its (nonzero) digits is 56700000, while the sum is 56.

The spelling of 55635453725600 in words is "fifty-five trillion, six hundred thirty-five billion, four hundred fifty-three million, seven hundred twenty-five thousand, six hundred".