5077416960 has 1056 divisors, whose sum is σ = 23175839232. Its totient is φ = 1035141120.

The previous prime is 5077416959. The next prime is 5077416973. The reversal of 5077416960 is 696147705.

It is a happy number.

5077416960 is a `hidden beast` number, since 507 + 74 + 16 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 95800294 + ... + 95800346.

Almost surely, 2^5077416960 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 5077416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11587919616).

5077416960 is an abundant number, since it is smaller than the sum of its proper divisors (18098422272).

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

5077416960 is a wasteful number, since it uses less digits than its factorization.

5077416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 5077416960 is about 71255.9959582350. The cubic root of 5077416960 is about 1718.7561946928.

The spelling of 5077416960 in words is "five billion, seventy-seven million, four hundred sixteen thousand, nine hundred sixty".