10116975960 has 768 divisors, whose sum is σ = 43777843200. Its totient is φ = 1967099904.

The previous prime is 10116975959. The next prime is 10116975977. The reversal of 10116975960 is 6957961101.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21850689 + ... + 21851151.

It is an arithmetic number, because the mean of its divisors is an integer number (57002400).

Almost surely, 2^10116975960 is an apocalyptic number.

10116975960 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 10116975960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21888921600).

10116975960 is an abundant number, since it is smaller than the sum of its proper divisors (33660867240).

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

10116975960 is a wasteful number, since it uses less digits than its factorization.

10116975960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 10116975960 in words is "ten billion, one hundred sixteen million, nine hundred seventy-five thousand, nine hundred sixty".