5107231958400 has 1920 divisors, whose sum is σ = 22275884252160. Its totient is φ = 1135967846400.

The previous prime is 5107231958357. The next prime is 5107231958417. The reversal of 5107231958400 is 48591327015.

5107231958400 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 231 + 9 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 8413890897 + ... + 8413891503.

It is an arithmetic number, because the mean of its divisors is an integer number (11602023048).

Almost surely, 2^{5107231958400} is an apocalyptic number.

5107231958400 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 5107231958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11137942126080).

5107231958400 is an abundant number, since it is smaller than the sum of its proper divisors (17168652293760).

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

5107231958400 is a wasteful number, since it uses less digits than its factorization.

5107231958400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5107231958400 in words is "five trillion, one hundred seven billion, two hundred thirty-one million, nine hundred fifty-eight thousand, four hundred".