10957109760 has 400 divisors, whose sum is σ = 40025480616. Its totient is φ = 2863890432.

The previous prime is 10957109741. The next prime is 10957109783. The reversal of 10957109760 is 6790175901.

10957109760 is a `hidden beast` number, since 1 + 0 + 9 + 571 + 0 + 9 + 76 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10719703296 + 237406464 = 103536^2 + 15408^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10989582 + ... + 10990578.

Almost surely, 2^10957109760 is an apocalyptic number.

10957109760 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 10957109760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20012740308).

10957109760 is an abundant number, since it is smaller than the sum of its proper divisors (29068370856).

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

10957109760 is an frugal number, since it uses more digits than its factorization.

10957109760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 119070, while the sum is 45.

The spelling of 10957109760 in words is "ten billion, nine hundred fifty-seven million, one hundred nine thousand, seven hundred sixty".