31688581680 has 480 divisors, whose sum is σ = 126220064256. Its totient is φ = 6974263296.

The previous prime is 31688581669. The next prime is 31688581693. The reversal of 31688581680 is 8618588613.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15819559 + ... + 15821561.

Almost surely, 2^31688581680 is an apocalyptic number.

31688581680 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 31688581680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63110032128).

31688581680 is an abundant number, since it is smaller than the sum of its proper divisors (94531482576).

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

31688581680 is a wasteful number, since it uses less digits than its factorization.

31688581680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2136 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 31688581680 in words is "thirty-one billion, six hundred eighty-eight million, five hundred eighty-one thousand, six hundred eighty".