31353907680 has 240 divisors, whose sum is σ = 111467165040. Its totient is φ = 8299542528.

The previous prime is 31353907667. The next prime is 31353907681. The reversal of 31353907680 is 8670935313.

31353907680 is a `hidden beast` number, since 31 + 3 + 539 + 0 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31353907681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1766691 + ... + 1784349.

It is an arithmetic number, because the mean of its divisors is an integer number (464446521).

Almost surely, 2^31353907680 is an apocalyptic number.

31353907680 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 31353907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55733582520).

31353907680 is an abundant number, since it is smaller than the sum of its proper divisors (80113257360).

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

31353907680 is a wasteful number, since it uses less digits than its factorization.

31353907680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17823 (or 17806 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 31353907680 in words is "thirty-one billion, three hundred fifty-three million, nine hundred seven thousand, six hundred eighty".