31268976721920 has 1840 divisors, whose sum is σ = 135339772072320. Its totient is φ = 6836447084544.

The previous prime is 31268976721861. The next prime is 31268976721937. The reversal of 31268976721920 is 2912767986213.

31268976721920 is a `hidden beast` number, since 31 + 268 + 97 + 6 + 72 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1359520727029 + ... + 1359520727051.

Almost surely, 2^{31268976721920} is an apocalyptic number.

31268976721920 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 31268976721920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67669886036160).

31268976721920 is an abundant number, since it is smaller than the sum of its proper divisors (104070795350400).

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

31268976721920 is an frugal number, since it uses more digits than its factorization.

31268976721920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 31268976721920 in words is "thirty-one trillion, two hundred sixty-eight billion, nine hundred seventy-six million, seven hundred twenty-one thousand, nine hundred twenty".