36580882560 has 64 divisors (see below), whose sum is σ = 116601569280. Its totient is φ = 9754901504.

The previous prime is 36580882553. The next prime is 36580882561. The reversal of 36580882560 is 6528808563.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (36580882561) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9524352 + ... + 9528191.

It is an arithmetic number, because the mean of its divisors is an integer number (1821899520).

Almost surely, 2^36580882560 is an apocalyptic number.

36580882560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36580882560 is an abundant number, since it is smaller than the sum of its proper divisors (80020686720).

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

36580882560 is a wasteful number, since it uses less digits than its factorization.

36580882560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19052565 (or 19052553 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 51.

The spelling of 36580882560 in words is "thirty-six billion, five hundred eighty million, eight hundred eighty-two thousand, five hundred sixty".