52735113817632 has 240 divisors, whose sum is σ = 161912478835800. Its totient is φ = 16816509480960.

The previous prime is 52735113817613. The next prime is 52735113817657. The reversal of 52735113817632 is 23671831153725.

52735113817632 is a `hidden beast` number, since 5 + 27 + 3 + 511 + 3 + 8 + 1 + 76 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 49188957818256 + 3546155999376 = 7013484^2 + 1883124^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4975132 + ... + 11411492.

Almost surely, 2^{52735113817632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52735113817632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80956239417900).

52735113817632 is an abundant number, since it is smaller than the sum of its proper divisors (109177365018168).

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

52735113817632 is a wasteful number, since it uses less digits than its factorization.

52735113817632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6436521 (or 6436504 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The spelling of 52735113817632 in words is "fifty-two trillion, seven hundred thirty-five billion, one hundred thirteen million, eight hundred seventeen thousand, six hundred thirty-two".