31989822480 has 1440 divisors, whose sum is σ = 146708610048. Its totient is φ = 6401203200.

The previous prime is 31989822457. The next prime is 31989822497. The reversal of 31989822480 is 8422898913.

31989822480 is a `hidden beast` number, since 3 + 1 + 9 + 89 + 82 + 2 + 480 = 666.

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 287 ways as a sum of consecutive naturals, for example, 450560845 + ... + 450560915.

Almost surely, 2^31989822480 is an apocalyptic number.

31989822480 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 31989822480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73354305024).

31989822480 is an abundant number, since it is smaller than the sum of its proper divisors (114718787568).

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

31989822480 is a wasteful number, since it uses less digits than its factorization.

31989822480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

It can be divided in two parts, 319898 and 22480, that added together give a triangular number (342378 = T₈₂₇).

The spelling of 31989822480 in words is "thirty-one billion, nine hundred eighty-nine million, eight hundred twenty-two thousand, four hundred eighty".