52107632640 has 896 divisors, whose sum is σ = 217419448320. Its totient is φ = 11593580544.

The previous prime is 52107632627. The next prime is 52107632657. The reversal of 52107632640 is 4623670125.

52107632640 is a `hidden beast` number, since 5 + 2 + 1 + 0 + 7 + 6 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 52107632595 and 52107632604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 410296257 + ... + 410296383.

Almost surely, 2^52107632640 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 52107632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108709724160).

52107632640 is an abundant number, since it is smaller than the sum of its proper divisors (165311815680).

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

52107632640 is a wasteful number, since it uses less digits than its factorization.

52107632640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 52107632640 in words is "fifty-two billion, one hundred seven million, six hundred thirty-two thousand, six hundred forty".