56799489600 has 1344 divisors, whose sum is σ = 250597294080. Its totient is φ = 12242534400.

The previous prime is 56799489587. The next prime is 56799489619. The reversal of 56799489600 is 698499765.

It is a happy number.

56799489600 is a `hidden beast` number, since 5 + 6 + 7 + 99 + 489 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 684331159 + ... + 684331241.

It is an arithmetic number, because the mean of its divisors is an integer number (186456320).

Almost surely, 2^56799489600 is an apocalyptic number.

56799489600 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 56799489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125298647040).

56799489600 is an abundant number, since it is smaller than the sum of its proper divisors (193797804480).

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

56799489600 is a wasteful number, since it uses less digits than its factorization.

56799489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 56799489600 in words is "fifty-six billion, seven hundred ninety-nine million, four hundred eighty-nine thousand, six hundred".