10904053095936 has 3200 divisors, whose sum is σ = 46528781967360. Its totient is φ = 2450895667200.

The previous prime is 10904053095907. The next prime is 10904053095953. The reversal of 10904053095936 is 63959035040901.

10904053095936 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 40 + 5 + 3 + 0 + 9 + 593 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 319 ways as a sum of consecutive naturals, for example, 47615952270 + ... + 47615952498.

Almost surely, 2^{10904053095936} is an apocalyptic number.

10904053095936 is a gapful number since it is divisible by the number (16) 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 10904053095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23264390983680).

10904053095936 is an abundant number, since it is smaller than the sum of its proper divisors (35624728871424).

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

10904053095936 is a wasteful number, since it uses less digits than its factorization.

10904053095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 3936600, while the sum is 54.

The spelling of 10904053095936 in words is "ten trillion, nine hundred four billion, fifty-three million, ninety-five thousand, nine hundred thirty-six".