10953254160 has 280 divisors, whose sum is σ = 38372090904. Its totient is φ = 2906357760.

The previous prime is 10953254141. The next prime is 10953254183. The reversal of 10953254160 is 6145235901.

10953254160 is a `hidden beast` number, since 1 + 0 + 9 + 53 + 2 + 541 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5979619584 + 4973634576 = 77328^2 + 70524^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 17087440 + ... + 17088080.

Almost surely, 2^10953254160 is an apocalyptic number.

10953254160 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 10953254160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19186045452).

10953254160 is an abundant number, since it is smaller than the sum of its proper divisors (27418836744).

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

10953254160 is an equidigital number, since it uses as much as digits as its factorization.

10953254160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 965 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 10953254160 in words is "ten billion, nine hundred fifty-three million, two hundred fifty-four thousand, one hundred sixty".