10957312080 has 480 divisors, whose sum is σ = 44639142912. Its totient is φ = 2372198400.

The previous prime is 10957312031. The next prime is 10957312081. The reversal of 10957312080 is 8021375901.

10957312080 is a `hidden beast` number, since 1 + 0 + 9 + 573 + 1 + 2 + 0 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10957312081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3190044 + ... + 3193476.

Almost surely, 2^10957312080 is an apocalyptic number.

10957312080 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 10957312080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22319571456).

10957312080 is an abundant number, since it is smaller than the sum of its proper divisors (33681830832).

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

10957312080 is a wasteful number, since it uses less digits than its factorization.

10957312080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3498 counting only the distinct ones).

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

Adding to 10957312080 its reverse (8021375901), we get a palindrome (18978687981).

The spelling of 10957312080 in words is "ten billion, nine hundred fifty-seven million, three hundred twelve thousand, eighty".