31789406880 has 768 divisors, whose sum is σ = 139659448320. Its totient is φ = 6560870400.

The previous prime is 31789406827. The next prime is 31789406893. The reversal of 31789406880 is 8860498713.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 75509070 + ... + 75509490.

It is an arithmetic number, because the mean of its divisors is an integer number (181848240).

Almost surely, 2^31789406880 is an apocalyptic number.

31789406880 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 31789406880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69829724160).

31789406880 is an abundant number, since it is smaller than the sum of its proper divisors (107870041440).

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

31789406880 is a wasteful number, since it uses less digits than its factorization.

31789406880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 31789406880 in words is "thirty-one billion, seven hundred eighty-nine million, four hundred six thousand, eight hundred eighty".