521410387680 has 1728 divisors, whose sum is σ = 2378233690560. Its totient is φ = 106850451456.

The previous prime is 521410387651. The next prime is 521410387691. The reversal of 521410387680 is 86783014125.

521410387680 is a `hidden beast` number, since 52 + 141 + 0 + 387 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 916362436 + ... + 916363004.

It is an arithmetic number, because the mean of its divisors is an integer number (1376292645).

Almost surely, 2^521410387680 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 521410387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189116845280).

521410387680 is an abundant number, since it is smaller than the sum of its proper divisors (1856823302880).

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

521410387680 is a wasteful number, since it uses less digits than its factorization.

521410387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 521410387680 in words is "five hundred twenty-one billion, four hundred ten million, three hundred eighty-seven thousand, six hundred eighty".