31164512400 has 480 divisors, whose sum is σ = 132287723520. Its totient is φ = 6813227520.

The previous prime is 31164512383. The next prime is 31164512413. The reversal of 31164512400 is 421546113.

It is a happy number.

31164512400 is a `hidden beast` number, since 3 + 1 + 1 + 645 + 12 + 4 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1729839 + ... + 1747761.

It is an arithmetic number, because the mean of its divisors is an integer number (275599424).

Almost surely, 2^31164512400 is an apocalyptic number.

31164512400 is a gapful number since it is divisible by the number (30) 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 31164512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66143861760).

31164512400 is an abundant number, since it is smaller than the sum of its proper divisors (101123211120).

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

31164512400 is a wasteful number, since it uses less digits than its factorization.

31164512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17980 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 31164512400 in words is "thirty-one billion, one hundred sixty-four million, five hundred twelve thousand, four hundred".