31239982080 has 528 divisors, whose sum is σ = 113143159584. Its totient is φ = 7962624000.

The previous prime is 31239982049. The next prime is 31239982183. The reversal of 31239982080 is 8028993213.

It is a super-2 number, since 2×31239982080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124461955 + ... + 124462205.

Almost surely, 2^31239982080 is an apocalyptic number.

31239982080 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 31239982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56571579792).

31239982080 is an abundant number, since it is smaller than the sum of its proper divisors (81903177504).

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

31239982080 is a wasteful number, since it uses less digits than its factorization.

31239982080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 31239982080 in words is "thirty-one billion, two hundred thirty-nine million, nine hundred eighty-two thousand, eighty".