5138976960 has 560 divisors, whose sum is σ = 20012997312. Its totient is φ = 1244160000.

The previous prime is 5138976959. The next prime is 5138976961. The reversal of 5138976960 is 696798315.

5138976960 is a `hidden beast` number, since 513 + 8 + 9 + 7 + 69 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5138976959) and next prime (5138976961).

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

It is a junction number, because it is equal to n+sod(n) for n = 5138976897 and 5138976906.

It is not an unprimeable number, because it can be changed into a prime (5138976961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34032885 + ... + 34033035.

Almost surely, 2^5138976960 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 5138976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10006498656).

5138976960 is an abundant number, since it is smaller than the sum of its proper divisors (14874020352).

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

5138976960 is a wasteful number, since it uses less digits than its factorization.

5138976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 5138976960 is about 71686.6581729125. The cubic root of 5138976960 is about 1725.6745339314.

The spelling of 5138976960 in words is "five billion, one hundred thirty-eight million, nine hundred seventy-six thousand, nine hundred sixty".