31248564960 has 192 divisors, whose sum is σ = 104331773952. Its totient is φ = 7834607616.

The previous prime is 31248564953. The next prime is 31248565013. The reversal of 31248564960 is 6946584213.

It is a super-3 number, since 3×31248564960³ (a number of 32 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13111929 + ... + 13114311.

It is an arithmetic number, because the mean of its divisors is an integer number (543394656).

Almost surely, 2^31248564960 is an apocalyptic number.

31248564960 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 31248564960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52165886976).

31248564960 is an abundant number, since it is smaller than the sum of its proper divisors (73083208992).

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

31248564960 is a wasteful number, since it uses less digits than its factorization.

31248564960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4025 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 31248564960 in words is "thirty-one billion, two hundred forty-eight million, five hundred sixty-four thousand, nine hundred sixty".