10953272304 has 200 divisors, whose sum is σ = 35938481040. Its totient is φ = 3192763392.

The previous prime is 10953272279. The next prime is 10953272321. The reversal of 10953272304 is 40327235901.

10953272304 is a `hidden beast` number, since 10 + 95 + 327 + 230 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 303004 + ... + 337220.

Almost surely, 2^10953272304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10953272304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17969240520).

10953272304 is an abundant number, since it is smaller than the sum of its proper divisors (24985208736).

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

10953272304 is a wasteful number, since it uses less digits than its factorization.

10953272304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269 (or 34254 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 10953272304 in words is "ten billion, nine hundred fifty-three million, two hundred seventy-two thousand, three hundred four".