521413066944 has 448 divisors, whose sum is σ = 1913188147200. Its totient is φ = 135283737600.

The previous prime is 521413066939. The next prime is 521413066963. The reversal of 521413066944 is 449660314125.

521413066944 is a `hidden beast` number, since 521 + 4 + 1 + 30 + 6 + 6 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 521413066944.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175499379 + ... + 175502349.

Almost surely, 2^521413066944 is an apocalyptic number.

521413066944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 521413066944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956594073600).

521413066944 is an abundant number, since it is smaller than the sum of its proper divisors (1391775080256).

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

521413066944 is a wasteful number, since it uses less digits than its factorization.

521413066944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329 (or 4313 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 521413066944 in words is "five hundred twenty-one billion, four hundred thirteen million, sixty-six thousand, nine hundred forty-four".