31133652480 has 800 divisors, whose sum is σ = 129407699520. Its totient is φ = 7007109120.

The previous prime is 31133652469. The next prime is 31133652503. The reversal of 31133652480 is 8425633113.

31133652480 is a `hidden beast` number, since 3 + 113 + 3 + 65 + 2 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 129185160 + ... + 129185400.

Almost surely, 2^31133652480 is an apocalyptic number.

31133652480 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 31133652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64703849760).

31133652480 is an abundant number, since it is smaller than the sum of its proper divisors (98274047040).

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

31133652480 is an equidigital number, since it uses as much as digits as its factorization.

31133652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 31133652480 in words is "thirty-one billion, one hundred thirty-three million, six hundred fifty-two thousand, four hundred eighty".