521412876864 has 224 divisors, whose sum is σ = 1684246771200. Its totient is φ = 156866388480.

The previous prime is 521412876847. The next prime is 521412876893. The reversal of 521412876864 is 468678214125.

521412876864 is a `hidden beast` number, since 521 + 41 + 2 + 8 + 76 + 8 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 521412876864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2543439 + ... + 2740785.

It is an arithmetic number, because the mean of its divisors is an integer number (7518958800).

Almost surely, 2^521412876864 is an apocalyptic number.

521412876864 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 521412876864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842123385600).

521412876864 is an abundant number, since it is smaller than the sum of its proper divisors (1162833894336).

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

521412876864 is a wasteful number, since it uses less digits than its factorization.

521412876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197518 (or 197502 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 521412876864 in words is "five hundred twenty-one billion, four hundred twelve million, eight hundred seventy-six thousand, eight hundred sixty-four".