521663567040 has 672 divisors, whose sum is σ = 2248487654400. Its totient is φ = 107843788800.

The previous prime is 521663567017. The next prime is 521663567071. The reversal of 521663567040 is 40765366125.

521663567040 is a `hidden beast` number, since 5 + 2 + 1 + 6 + 635 + 6 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44124330 + ... + 44136150.

Almost surely, 2^521663567040 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 521663567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124243827200).

521663567040 is an abundant number, since it is smaller than the sum of its proper divisors (1726824087360).

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

521663567040 is a wasteful number, since it uses less digits than its factorization.

521663567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12061 (or 12048 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 521663567040 in words is "five hundred twenty-one billion, six hundred sixty-three million, five hundred sixty-seven thousand, forty".