5131888137600 has 1152 divisors, whose sum is σ = 21415168627200. Its totient is φ = 1055910789120.

The previous prime is 5131888137557. The next prime is 5131888137601. The reversal of 5131888137600 is 67318881315.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5131888137601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446672656 + ... + 446684144.

It is an arithmetic number, because the mean of its divisors is an integer number (18589556100).

Almost surely, 2^{5131888137600} is an apocalyptic number.

5131888137600 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 5131888137600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10707584313600).

5131888137600 is an abundant number, since it is smaller than the sum of its proper divisors (16283280489600).

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

5131888137600 is a wasteful number, since it uses less digits than its factorization.

5131888137600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11580 (or 11546 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 51.

The spelling of 5131888137600 in words is "five trillion, one hundred thirty-one billion, eight hundred eighty-eight million, one hundred thirty-seven thousand, six hundred".