5079162816 has 504 divisors, whose sum is σ = 18550371840. Its totient is φ = 1316818944.

The previous prime is 5079162799. The next prime is 5079162857. The reversal of 5079162816 is 6182619705.

5079162816 is a `hidden beast` number, since 5 + 0 + 7 + 9 + 1 + 628 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×5079162816² = 51595789822874099712, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39993345 + ... + 39993471.

Almost surely, 2^5079162816 is an apocalyptic number.

5079162816 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 5079162816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9275185920).

5079162816 is an abundant number, since it is smaller than the sum of its proper divisors (13471209024).

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

5079162816 is a wasteful number, since it uses less digits than its factorization.

5079162816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

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

The square root of 5079162816 is about 71268.2454954519. The cubic root of 5079162816 is about 1718.9531686645.

The spelling of 5079162816 in words is "five billion, seventy-nine million, one hundred sixty-two thousand, eight hundred sixteen".