331959795921600 has 2688 divisors, whose sum is σ = 1487158514810880. Its totient is φ = 62737016832000.

The previous prime is 331959795921557. The next prime is 331959795921661. The reversal of 331959795921600 is 6129597959133.

It is a super-2 number, since 2×331959795921600² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 27647182797 + ... + 27647194803.

Almost surely, 2^{331959795921600} is an apocalyptic number.

331959795921600 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 331959795921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743579257405440).

331959795921600 is an abundant number, since it is smaller than the sum of its proper divisors (1155198718889280).

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

331959795921600 is a wasteful number, since it uses less digits than its factorization.

331959795921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12227 (or 12212 counting only the distinct ones).

The product of its (nonzero) digits is 124002900, while the sum is 69.

The spelling of 331959795921600 in words is "three hundred thirty-one trillion, nine hundred fifty-nine billion, seven hundred ninety-five million, nine hundred twenty-one thousand, six hundred".