55630713600 has 1728 divisors, whose sum is σ = 263513134080. Its totient is φ = 11147673600.

The previous prime is 55630713569. The next prime is 55630713613. The reversal of 55630713600 is 631703655.

It is a happy number.

55630713600 is a `hidden beast` number, since 5 + 5 + 6 + 30 + 7 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 492307144 + ... + 492307256.

Almost surely, 2^55630713600 is an apocalyptic number.

55630713600 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 55630713600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131756567040).

55630713600 is an abundant number, since it is smaller than the sum of its proper divisors (207882420480).

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

55630713600 is a wasteful number, since it uses less digits than its factorization.

55630713600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 55630713600 in words is "fifty-five billion, six hundred thirty million, seven hundred thirteen thousand, six hundred".