516460131936 has 288 divisors, whose sum is σ = 1733852510208. Its totient is φ = 142700175360.

The previous prime is 516460131919. The next prime is 516460131947. The reversal of 516460131936 is 639131064615.

516460131936 is a `hidden beast` number, since 5 + 1 + 6 + 4 + 601 + 3 + 1 + 9 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 516460131891 and 516460131900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 162050535 + ... + 162053721.

It is an arithmetic number, because the mean of its divisors is an integer number (6020321216).

Almost surely, 2^516460131936 is an apocalyptic number.

516460131936 is a gapful number since it is divisible by the number (56) 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 516460131936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866926255104).

516460131936 is an abundant number, since it is smaller than the sum of its proper divisors (1217392378272).

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

516460131936 is a wasteful number, since it uses less digits than its factorization.

516460131936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5834 (or 5823 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 516460131936 in words is "five hundred sixteen billion, four hundred sixty million, one hundred thirty-one thousand, nine hundred thirty-six".