56788992000 has 960 divisors, whose sum is σ = 229002009600. Its totient is φ = 13801881600.

The previous prime is 56788991999. The next prime is 56788992037. The reversal of 56788992000 is 29988765.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×56788992000² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 718847961 + ... + 718848039.

It is an arithmetic number, because the mean of its divisors is an integer number (238543760).

Almost surely, 2^56788992000 is an apocalyptic number.

56788992000 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 56788992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114501004800).

56788992000 is an abundant number, since it is smaller than the sum of its proper divisors (172213017600).

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

56788992000 is an equidigital number, since it uses as much as digits as its factorization.

56788992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 56788992000 in words is "fifty-six billion, seven hundred eighty-eight million, nine hundred ninety-two thousand".