31803126960 has 160 divisors (see below), whose sum is σ = 108442344960. Its totient is φ = 7709771520.

The previous prime is 31803126833. The next prime is 31803126977. The reversal of 31803126960 is 6962130813.

It is a super-2 number, since 2×31803126960² (a number of 22 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 269661 + ... + 369219.

It is an arithmetic number, because the mean of its divisors is an integer number (677764656).

Almost surely, 2^31803126960 is an apocalyptic number.

31803126960 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 31803126960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54221172480).

31803126960 is an abundant number, since it is smaller than the sum of its proper divisors (76639218000).

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

31803126960 is a wasteful number, since it uses less digits than its factorization.

31803126960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99608 (or 99580 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 31803126960 in words is "thirty-one billion, eight hundred three million, one hundred twenty-six thousand, nine hundred sixty".