521561564160 has 1408 divisors, whose sum is σ = 2218541875200. Its totient is φ = 101496913920.

The previous prime is 521561564101. The next prime is 521561564177. The reversal of 521561564160 is 61465165125.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1088854801 + ... + 1088855279.

Almost surely, 2^521561564160 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 521561564160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109270937600).

521561564160 is an abundant number, since it is smaller than the sum of its proper divisors (1696980311040).

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

521561564160 is a wasteful number, since it uses less digits than its factorization.

521561564160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The spelling of 521561564160 in words is "five hundred twenty-one billion, five hundred sixty-one million, five hundred sixty-four thousand, one hundred sixty".