5031146023200 has 864 divisors, whose sum is σ = 20147961072960. Its totient is φ = 1210682880000.

The previous prime is 5031146023177. The next prime is 5031146023213. The reversal of 5031146023200 is 23206411305.

5031146023200 is a `hidden beast` number, since 5 + 0 + 31 + 1 + 4 + 602 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×5031146023200² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 358056175 + ... + 358070225.

It is an arithmetic number, because the mean of its divisors is an integer number (23319399390).

Almost surely, 2^{5031146023200} is an apocalyptic number.

5031146023200 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 5031146023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073980536480).

5031146023200 is an abundant number, since it is smaller than the sum of its proper divisors (15116815049760).

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

5031146023200 is a wasteful number, since it uses less digits than its factorization.

5031146023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14239 (or 14209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 5031146023200 in words is "five trillion, thirty-one billion, one hundred forty-six million, twenty-three thousand, two hundred".