36532123056 has 240 divisors, whose sum is σ = 121910530560. Its totient is φ = 10065876480.

The previous prime is 36532123009. The next prime is 36532123079. The reversal of 36532123056 is 65032123563.

36532123056 is a `hidden beast` number, since 36 + 532 + 12 + 30 + 56 = 666.

36532123056 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 36532123056.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366425 + ... + 1392903.

It is an arithmetic number, because the mean of its divisors is an integer number (507960544).

Almost surely, 2^36532123056 is an apocalyptic number.

36532123056 is a gapful number since it is divisible by the number (36) 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 36532123056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60955265280).

36532123056 is an abundant number, since it is smaller than the sum of its proper divisors (85378407504).

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

36532123056 is a wasteful number, since it uses less digits than its factorization.

36532123056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26584 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The spelling of 36532123056 in words is "thirty-six billion, five hundred thirty-two million, one hundred twenty-three thousand, fifty-six".