31020896880 has 240 divisors, whose sum is σ = 111106326240. Its totient is φ = 7729201152.

The previous prime is 31020896861. The next prime is 31020896941. The reversal of 31020896880 is 8869802013.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1692244 + ... + 1710476.

It is an arithmetic number, because the mean of its divisors is an integer number (462943026).

Almost surely, 2^31020896880 is an apocalyptic number.

31020896880 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 31020896880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55553163120).

31020896880 is an abundant number, since it is smaller than the sum of its proper divisors (80085429360).

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

31020896880 is a wasteful number, since it uses less digits than its factorization.

31020896880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18408 (or 18399 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 31020896880 in words is "thirty-one billion, twenty million, eight hundred ninety-six thousand, eight hundred eighty".