10488319120 has 40 divisors (see below), whose sum is σ = 24406384320. Its totient is φ = 4191707520.

The previous prime is 10488319111. The next prime is 10488319141. The reversal of 10488319120 is 2191388401.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10488319120² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10488319120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37701 + ... + 149659.

It is an arithmetic number, because the mean of its divisors is an integer number (610159608).

Almost surely, 2^10488319120 is an apocalyptic number.

10488319120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10488319120 is an abundant number, since it is smaller than the sum of its proper divisors (13918065200).

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

10488319120 is a wasteful number, since it uses less digits than its factorization.

10488319120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113143 (or 113137 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 10488319120 in words is "ten billion, four hundred eighty-eight million, three hundred nineteen thousand, one hundred twenty".