331988620800 has 480 divisors, whose sum is σ = 1188321121152. Its totient is φ = 81378017280.

The previous prime is 331988620739. The next prime is 331988620829. The reversal of 331988620800 is 8026889133.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×331988620800² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 331988620800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28064487 + ... + 28076313.

Almost surely, 2^331988620800 is an apocalyptic number.

331988620800 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 331988620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594160560576).

331988620800 is an abundant number, since it is smaller than the sum of its proper divisors (856332500352).

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

331988620800 is a wasteful number, since it uses less digits than its factorization.

331988620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11918 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 331988620800 in words is "three hundred thirty-one billion, nine hundred eighty-eight million, six hundred twenty thousand, eight hundred".