56132430585 has 192 divisors, whose sum is σ = 115037024256. Its totient is φ = 22875240960.

The previous prime is 56132430581. The next prime is 56132430589. The reversal of 56132430585 is 58503423165.

56132430585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56132430581) and next prime (56132430589).

It is not a de Polignac number, because 56132430585 - 2² = 56132430581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (56132430581) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213431164 + ... + 213431426.

It is an arithmetic number, because the mean of its divisors is an integer number (599151168).

Almost surely, 2^56132430585 is an apocalyptic number.

56132430585 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

56132430585 is an abundant number, since it is smaller than the sum of its proper divisors (58904593671).

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

56132430585 is a wasteful number, since it uses less digits than its factorization.

56132430585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 56132430585 in words is "fifty-six billion, one hundred thirty-two million, four hundred thirty thousand, five hundred eighty-five".