31872911616 has 1080 divisors, whose sum is σ = 126313313280. Its totient is φ = 7900913664.

The previous prime is 31872911569. The next prime is 31872911621. The reversal of 31872911616 is 61611927813.

31872911616 is a `hidden beast` number, since 3 + 1 + 8 + 7 + 29 + 1 + 1 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 250967745 + ... + 250967871.

Almost surely, 2^31872911616 is an apocalyptic number.

31872911616 is a gapful number since it is divisible by the number (36) 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 31872911616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63156656640).

31872911616 is an abundant number, since it is smaller than the sum of its proper divisors (94440401664).

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

31872911616 is a wasteful number, since it uses less digits than its factorization.

31872911616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The spelling of 31872911616 in words is "thirty-one billion, eight hundred seventy-two million, nine hundred eleven thousand, six hundred sixteen".