31158472189680 has 960 divisors, whose sum is σ = 120910713790464. Its totient is φ = 7116595200000.

The previous prime is 31158472189679. The next prime is 31158472189697. The reversal of 31158472189680 is 8698127485113.

31158472189680 is a `hidden beast` number, since 3 + 1 + 1 + 5 + 8 + 472 + 1 + 89 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15970512705 + ... + 15970514655.

It is a 1-persistent number, because it is pandigital, but 2⋅31158472189680 = 62316944379360 is not.

Almost surely, 2^{31158472189680} is an apocalyptic number.

31158472189680 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 31158472189680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455356895232).

31158472189680 is an abundant number, since it is smaller than the sum of its proper divisors (89752241600784).

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

31158472189680 is a wasteful number, since it uses less digits than its factorization.

31158472189680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 31158472189680 in words is "thirty-one trillion, one hundred fifty-eight billion, four hundred seventy-two million, one hundred eighty-nine thousand, six hundred eighty".