10957803120 has 1120 divisors, whose sum is σ = 46839859200. Its totient is φ = 2351462400.

The previous prime is 10957803113. The next prime is 10957803163. The reversal of 10957803120 is 2130875901.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 353477505 + ... + 353477535.

Almost surely, 2^10957803120 is an apocalyptic number.

10957803120 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 10957803120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23419929600).

10957803120 is an abundant number, since it is smaller than the sum of its proper divisors (35882056080).

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

10957803120 is a wasteful number, since it uses less digits than its factorization.

10957803120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10957803120 in words is "ten billion, nine hundred fifty-seven million, eight hundred three thousand, one hundred twenty".