31998036648960 has 704 divisors, whose sum is σ = 115632062668800. Its totient is φ = 8390705283072.

The previous prime is 31998036648889. The next prime is 31998036648979. The reversal of 31998036648960 is 6984663089913.

31998036648960 is a `hidden beast` number, since 3 + 1 + 9 + 9 + 80 + 3 + 6 + 6 + 489 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251953044417 + ... + 251953044543.

Almost surely, 2^{31998036648960} is an apocalyptic number.

31998036648960 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 31998036648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57816031334400).

31998036648960 is an abundant number, since it is smaller than the sum of its proper divisors (83634026019840).

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

31998036648960 is an frugal number, since it uses more digits than its factorization.

31998036648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 31998036648960 in words is "thirty-one trillion, nine hundred ninety-eight billion, thirty-six million, six hundred forty-eight thousand, nine hundred sixty".