56484993600 has 1680 divisors, whose sum is σ = 260673494400. Its totient is φ = 11705057280.

The previous prime is 56484993599. The next prime is 56484993623. The reversal of 56484993600 is 639948465.

56484993600 is a `hidden beast` number, since 56 + 48 + 499 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 499867144 + ... + 499867256.

Almost surely, 2^56484993600 is an apocalyptic number.

56484993600 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 56484993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130336747200).

56484993600 is an abundant number, since it is smaller than the sum of its proper divisors (204188500800).

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

56484993600 is a wasteful number, since it uses less digits than its factorization.

56484993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56484993600 in words is "fifty-six billion, four hundred eighty-four million, nine hundred ninety-three thousand, six hundred".