516856571136 has 576 divisors, whose sum is σ = 1674183168000. Its totient is φ = 156771901440.

The previous prime is 516856571117. The next prime is 516856571167. The reversal of 516856571136 is 631175658615.

516856571136 is a `hidden beast` number, since 5 + 1 + 6 + 8 + 56 + 571 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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, 327330795 + ... + 327332373.

It is an arithmetic number, because the mean of its divisors is an integer number (2906568000).

Almost surely, 2^516856571136 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 516856571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837091584000).

516856571136 is an abundant number, since it is smaller than the sum of its proper divisors (1157326596864).

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

516856571136 is a wasteful number, since it uses less digits than its factorization.

516856571136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1727 (or 1707 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 54.

The spelling of 516856571136 in words is "five hundred sixteen billion, eight hundred fifty-six million, five hundred seventy-one thousand, one hundred thirty-six".