10957182960 has 320 divisors, whose sum is σ = 37142622720. Its totient is φ = 2662502400.

The previous prime is 10957182949. The next prime is 10957182961. The reversal of 10957182960 is 6928175901.

10957182960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957182961) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 17040399 + ... + 17041041.

It is an arithmetic number, because the mean of its divisors is an integer number (116070696).

Almost surely, 2^10957182960 is an apocalyptic number.

10957182960 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 10957182960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18571311360).

10957182960 is an abundant number, since it is smaller than the sum of its proper divisors (26185439760).

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

10957182960 is a wasteful number, since it uses less digits than its factorization.

10957182960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 10957182960 in words is "ten billion, nine hundred fifty-seven million, one hundred eighty-two thousand, nine hundred sixty".