31980109824 has 480 divisors, whose sum is σ = 104812458240. Its totient is φ = 9576382464.

The previous prime is 31980109813. The next prime is 31980109829. The reversal of 31980109824 is 42890108913.

It is a self number, because there is not a number n which added to its sum of digits gives 31980109824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31980109829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 385302487 + ... + 385302569.

It is an arithmetic number, because the mean of its divisors is an integer number (218359288).

Almost surely, 2^31980109824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31980109824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52406229120).

31980109824 is an abundant number, since it is smaller than the sum of its proper divisors (72832348416).

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

31980109824 is an equidigital number, since it uses as much as digits as its factorization.

31980109824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 31980109824 in words is "thirty-one billion, nine hundred eighty million, one hundred nine thousand, eight hundred twenty-four".