31930211057472 has 672 divisors, whose sum is σ = 116978659616000. Its totient is φ = 8420882466816.

The previous prime is 31930211057467. The next prime is 31930211057477. The reversal of 31930211057472 is 27475011203913.

31930211057472 is a `hidden beast` number, since 3 + 1 + 9 + 3 + 0 + 2 + 1 + 1 + 0 + 574 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (31930211057467) and next prime (31930211057477).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×31930211057472³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31930211057477) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1031688654 + ... + 1031719602.

Almost surely, 2^{31930211057472} is an apocalyptic number.

31930211057472 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 31930211057472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58489329808000).

31930211057472 is an abundant number, since it is smaller than the sum of its proper divisors (85048448558528).

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

31930211057472 is an frugal number, since it uses more digits than its factorization.

31930211057472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31014 (or 30974 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 31930211057472 in words is "thirty-one trillion, nine hundred thirty billion, two hundred eleven million, fifty-seven thousand, four hundred seventy-two".