31112820480 has 864 divisors, whose sum is σ = 122724866880. Its totient is φ = 6688604160.

The previous prime is 31112820413. The next prime is 31112820547. The reversal of 31112820480 is 8402821113.

It is an interprime number because it is at equal distance from previous prime (31112820413) and next prime (31112820547).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 285438666 + ... + 285438774.

It is an arithmetic number, because the mean of its divisors is an integer number (142042670).

Almost surely, 2^31112820480 is an apocalyptic number.

31112820480 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 31112820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61362433440).

31112820480 is an abundant number, since it is smaller than the sum of its proper divisors (91612046400).

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

31112820480 is a wasteful number, since it uses less digits than its factorization.

31112820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 31112820480 in words is "thirty-one billion, one hundred twelve million, eight hundred twenty thousand, four hundred eighty".