521228347960320 has 8448 divisors, whose sum is σ = 2697746920243200. Its totient is φ = 93546817781760.

The previous prime is 521228347960283. The next prime is 521228347960357. The reversal of 521228347960320 is 23069743822125.

521228347960320 is a `hidden beast` number, since 5 + 2 + 1 + 2 + 2 + 8 + 3 + 4 + 7 + 9 + 603 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (521228347960283) and next prime (521228347960357).

It is a tau number, because it is divible by the number of its divisors (8448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2337346851729 + ... + 2337346851951.

It is a 1-persistent number, because it is pandigital, but 2⋅521228347960320 = 1042456695920640 is not.

Almost surely, 2^{521228347960320} 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 521228347960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348873460121600).

521228347960320 is an abundant number, since it is smaller than the sum of its proper divisors (2176518572282880).

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

521228347960320 is a wasteful number, since it uses less digits than its factorization.

521228347960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 521228347960320 in words is "five hundred twenty-one trillion, two hundred twenty-eight billion, three hundred forty-seven million, nine hundred sixty thousand, three hundred twenty".