56124480000 has 800 divisors, whose sum is σ = 209392223040. Its totient is φ = 13271040000.

The previous prime is 56124479993. The next prime is 56124480029. The reversal of 56124480000 is 8442165.

It is a tau number, because it is divible by the number of its divisors (800).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 56124480000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310079910 + ... + 310080090.

Almost surely, 2^56124480000 is an apocalyptic number.

56124480000 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 56124480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104696111520).

56124480000 is an abundant number, since it is smaller than the sum of its proper divisors (153267743040).

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

56124480000 is a wasteful number, since it uses less digits than its factorization.

56124480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 56124480000 in words is "fifty-six billion, one hundred twenty-four million, four hundred eighty thousand".