31772019390912 has 168 divisors, whose sum is σ = 91346465262000. Its totient is φ = 10558400606208.

The previous prime is 31772019390871. The next prime is 31772019390953. The reversal of 31772019390912 is 21909391027713.

31772019390912 is a `hidden beast` number, since 31 + 7 + 7 + 201 + 9 + 390 + 9 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (31772019390871) and next prime (31772019390953).

It is a super-2 number, since 2×31772019390912² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556428348 + ... + 556485444.

Almost surely, 2^{31772019390912} is an apocalyptic number.

31772019390912 is a gapful number since it is divisible by the number (32) 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 31772019390912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45673232631000).

31772019390912 is an abundant number, since it is smaller than the sum of its proper divisors (59574445871088).

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

31772019390912 is a wasteful number, since it uses less digits than its factorization.

31772019390912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60043 (or 60030 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 31772019390912 in words is "thirty-one trillion, seven hundred seventy-two billion, nineteen million, three hundred ninety thousand, nine hundred twelve".