56587158628 has 216 divisors, whose sum is σ = 141083926200. Its totient is φ = 19646161920.

The previous prime is 56587158623. The next prime is 56587158629. The reversal of 56587158628 is 82685178565.

It can be written as a sum of positive squares in 4 ways, for example, as 6586620964 + 50000537664 = 81158^2 + 223608^2 .

It is not an unprimeable number, because it can be changed into a prime (56587158623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8937768 + ... + 8944096.

It is an arithmetic number, because the mean of its divisors is an integer number (653166325).

Almost surely, 2^56587158628 is an apocalyptic number.

56587158628 is a gapful number since it is divisible by the number (58) 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 56587158628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70541963100).

56587158628 is an abundant number, since it is smaller than the sum of its proper divisors (84496767572).

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

56587158628 is a wasteful number, since it uses less digits than its factorization.

56587158628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 6391 counting only the distinct ones).

The product of its digits is 32256000, while the sum is 61.

The spelling of 56587158628 in words is "fifty-six billion, five hundred eighty-seven million, one hundred fifty-eight thousand, six hundred twenty-eight".