5015137468400 has 60 divisors (see below), whose sum is σ = 12683018722200. Its totient is φ = 1900473143040.

The previous prime is 5015137468391. The next prime is 5015137468433. The reversal of 5015137468400 is 48647315105.

It is a super-3 number, since 3×5015137468400³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329935655 + ... + 329950854.

It is an arithmetic number, because the mean of its divisors is an integer number (211383645370).

Almost surely, 2^{5015137468400} is an apocalyptic number.

5015137468400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5015137468400 is an abundant number, since it is smaller than the sum of its proper divisors (7667881253800).

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

5015137468400 is a wasteful number, since it uses less digits than its factorization.

5015137468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659886546 (or 659886535 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 5015137468400 in words is "five trillion, fifteen billion, one hundred thirty-seven million, four hundred sixty-eight thousand, four hundred".