10031960880 has 120 divisors (see below), whose sum is σ = 33905640912. Its totient is φ = 2658120192.

The previous prime is 10031960857. The next prime is 10031960891. The reversal of 10031960880 is 8806913001.

10031960880 is a `hidden beast` number, since 10 + 0 + 31 + 9 + 608 + 8 + 0 = 666.

10031960880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68667 + ... + 157413.

Almost surely, 2^10031960880 is an apocalyptic number.

10031960880 is a gapful number since it is divisible by the number (10) 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 10031960880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16952820456).

10031960880 is an abundant number, since it is smaller than the sum of its proper divisors (23873680032).

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

10031960880 is a wasteful number, since it uses less digits than its factorization.

10031960880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88923 (or 88914 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10031960880 in words is "ten billion, thirty-one million, nine hundred sixty thousand, eight hundred eighty".