5138652960 has 576 divisors, whose sum is σ = 21134131200. Its totient is φ = 1154829312.

The previous prime is 5138652913. The next prime is 5138652973. The reversal of 5138652960 is 692568315.

5138652960 is a `hidden beast` number, since 513 + 86 + 52 + 9 + 6 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21500521 + ... + 21500759.

It is an arithmetic number, because the mean of its divisors is an integer number (36691200).

Almost surely, 2^5138652960 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 5138652960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10567065600).

5138652960 is an abundant number, since it is smaller than the sum of its proper divisors (15995478240).

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

5138652960 is a wasteful number, since it uses less digits than its factorization.

5138652960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5138652960 is about 71684.3983025595. The cubic root of 5138652960 is about 1725.6382666416.

The spelling of 5138652960 in words is "five billion, one hundred thirty-eight million, six hundred fifty-two thousand, nine hundred sixty".