5112680976 has 240 divisors, whose sum is σ = 16336298160. Its totient is φ = 1481195520.

The previous prime is 5112680899. The next prime is 5112681019. The reversal of 5112680976 is 6790862115.

5112680976 is a `hidden beast` number, since 511 + 2 + 68 + 0 + 9 + 76 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1090584576 + 4022096400 = 33024^2 + 63420^2 .

It is a super-2 number, since 2×5112680976² = 52279013524704625152, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2224660 + ... + 2226956.

It is an arithmetic number, because the mean of its divisors is an integer number (68067909).

Almost surely, 2^5112680976 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 5112680976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8168149080).

5112680976 is an abundant number, since it is smaller than the sum of its proper divisors (11223617184).

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

5112680976 is a wasteful number, since it uses less digits than its factorization.

5112680976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5112680976 is about 71503.0137546663. The cubic root of 5112680976 is about 1722.7260916723.

The spelling of 5112680976 in words is "five billion, one hundred twelve million, six hundred eighty thousand, nine hundred seventy-six".