5139595718400 has 864 divisors, whose sum is σ = 20200836563712. Its totient is φ = 1134320025600.

The previous prime is 5139595718399. The next prime is 5139595718431. The reversal of 5139595718400 is 48175959315.

It is a super-2 number, since 2×5139595718400² (a number of 26 digits) 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 95 ways as a sum of consecutive naturals, for example, 200415979 + ... + 200441621.

Almost surely, 2^{5139595718400} is an apocalyptic number.

5139595718400 is a gapful number since it is divisible by the number (50) 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 5139595718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10100418281856).

5139595718400 is an abundant number, since it is smaller than the sum of its proper divisors (15061240845312).

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

5139595718400 is a wasteful number, since it uses less digits than its factorization.

5139595718400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25769 (or 25750 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 57.

The spelling of 5139595718400 in words is "five trillion, one hundred thirty-nine billion, five hundred ninety-five million, seven hundred eighteen thousand, four hundred".