5138792064 has 256 divisors, whose sum is σ = 17804793600. Its totient is φ = 1428295680.

The previous prime is 5138792039. The next prime is 5138792081. The reversal of 5138792064 is 4602978315.

5138792064 is a `hidden beast` number, since 513 + 8 + 79 + 2 + 0 + 64 = 666.

5138792064 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5138792064 is strictly pandigital in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892234 + ... + 897974.

It is an arithmetic number, because the mean of its divisors is an integer number (69549975).

It is a 1-persistent number, because it is pandigital, but 2⋅5138792064 = 10277584128 is not.

Almost surely, 2^5138792064 is an apocalyptic number.

5138792064 is a gapful number since it is divisible by the number (54) 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 5138792064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8902396800).

5138792064 is an abundant number, since it is smaller than the sum of its proper divisors (12666001536).

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

5138792064 is a wasteful number, since it uses less digits than its factorization.

5138792064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5808 (or 5790 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5138792064 is about 71685.3685489584. The cubic root of 5138792064 is about 1725.6538375848.

The spelling of 5138792064 in words is "five billion, one hundred thirty-eight million, seven hundred ninety-two thousand, sixty-four".