56515786198872 has 384 divisors, whose sum is σ = 190903682511360. Its totient is φ = 13539013263360.

The previous prime is 56515786198841. The next prime is 56515786198897. The reversal of 56515786198872 is 27889168751565.

It is a super-2 number, since 2×56515786198872² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380009358 + ... + 380158050.

It is an arithmetic number, because the mean of its divisors is an integer number (497145006540).

Almost surely, 2^{56515786198872} is an apocalyptic number.

56515786198872 is a gapful number since it is divisible by the number (52) 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 56515786198872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95451841255680).

56515786198872 is an abundant number, since it is smaller than the sum of its proper divisors (134387896312488).

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

56515786198872 is a wasteful number, since it uses less digits than its factorization.

56515786198872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149963 (or 149946 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 78.

The spelling of 56515786198872 in words is "fifty-six trillion, five hundred fifteen billion, seven hundred eighty-six million, one hundred ninety-eight thousand, eight hundred seventy-two".