31172421127680 has 1600 divisors, whose sum is σ = 136106526517632. Its totient is φ = 6656328990720.

The previous prime is 31172421127633. The next prime is 31172421127733. The reversal of 31172421127680 is 8672112427113.

It is a happy number.

31172421127680 is a `hidden beast` number, since 3 + 1 + 1 + 72 + 421 + 12 + 76 + 80 = 666.

It is a super-2 number, since 2×31172421127680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3380585470 + ... + 3380594690.

Almost surely, 2^{31172421127680} is an apocalyptic number.

31172421127680 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 31172421127680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68053263258816).

31172421127680 is an abundant number, since it is smaller than the sum of its proper divisors (104934105389952).

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

31172421127680 is a wasteful number, since it uses less digits than its factorization.

31172421127680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9392 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 31172421127680 in words is "thirty-one trillion, one hundred seventy-two billion, four hundred twenty-one million, one hundred twenty-seven thousand, six hundred eighty".