10953118372896 has 240 divisors, whose sum is σ = 38415286191744. Its totient is φ = 2993398695936.

The previous prime is 10953118372891. The next prime is 10953118372939. The reversal of 10953118372896 is 69827381135901.

10953118372896 is a `hidden beast` number, since 1 + 0 + 9 + 5 + 311 + 8 + 37 + 289 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (10953118372891) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12706105 + ... + 13540728.

Almost surely, 2^{10953118372896} is an apocalyptic number.

10953118372896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10953118372896 is an abundant number, since it is smaller than the sum of its proper divisors (27462167818848).

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

10953118372896 is a wasteful number, since it uses less digits than its factorization.

10953118372896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26246885 (or 26246868 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 10953118372896 in words is "ten trillion, nine hundred fifty-three billion, one hundred eighteen million, three hundred seventy-two thousand, eight hundred ninety-six".