31252712400 has 720 divisors, whose sum is σ = 140537255040. Its totient is φ = 6245683200.

The previous prime is 31252712389. The next prime is 31252712417. The reversal of 31252712400 is 421725213.

31252712400 is a `hidden beast` number, since 3 + 1 + 252 + 7 + 1 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×31252712400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 6221890 + ... + 6226910.

It is an arithmetic number, because the mean of its divisors is an integer number (195190632).

Almost surely, 2^31252712400 is an apocalyptic number.

31252712400 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 31252712400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70268627520).

31252712400 is an abundant number, since it is smaller than the sum of its proper divisors (109284542640).

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

31252712400 is a wasteful number, since it uses less digits than its factorization.

31252712400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5084 (or 5070 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 31252712400 in words is "thirty-one billion, two hundred fifty-two million, seven hundred twelve thousand, four hundred".