56102989824 has 1040 divisors, whose sum is σ = 214079976000. Its totient is φ = 14566293504.

The previous prime is 56102989823. The next prime is 56102989837. The reversal of 56102989824 is 42898920165.

It is a happy number.

56102989824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (56102989823) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1934585842 + ... + 1934585870.

Almost surely, 2^56102989824 is an apocalyptic number.

56102989824 is a gapful number since it is divisible by the number (54) 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 56102989824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107039988000).

56102989824 is an abundant number, since it is smaller than the sum of its proper divisors (157976986176).

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

56102989824 is an equidigital number, since it uses as much as digits as its factorization.

56102989824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 56102989824 in words is "fifty-six billion, one hundred two million, nine hundred eighty-nine thousand, eight hundred twenty-four".