52646002560 has 384 divisors, whose sum is σ = 202624999200. Its totient is φ = 12517244928.

The previous prime is 52646002517. The next prime is 52646002583. The reversal of 52646002560 is 6520064625.

52646002560 is a `hidden beast` number, since 5 + 2 + 646 + 0 + 0 + 2 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 1846332 + ... + 1874628.

Almost surely, 2^52646002560 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 52646002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101312499600).

52646002560 is an abundant number, since it is smaller than the sum of its proper divisors (149978996640).

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

52646002560 is a wasteful number, since it uses less digits than its factorization.

52646002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28358 (or 28343 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 52646002560 in words is "fifty-two billion, six hundred forty-six million, two thousand, five hundred sixty".