10904191608960 has 768 divisors, whose sum is σ = 42607847836800. Its totient is φ = 2633427763200.

The previous prime is 10904191608949. The next prime is 10904191608971. The reversal of 10904191608960 is 6980619140901.

10904191608960 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 419 + 160 + 8 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10904191608949) and next prime (10904191608971).

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

It is a junction number, because it is equal to n+sod(n) for n = 10904191608897 and 10904191608906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 154741735 + ... + 154812185.

Almost surely, 2^{10904191608960} is an apocalyptic number.

10904191608960 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 10904191608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21303923918400).

10904191608960 is an abundant number, since it is smaller than the sum of its proper divisors (31703656227840).

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

10904191608960 is a wasteful number, since it uses less digits than its factorization.

10904191608960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70558 (or 70527 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 10904191608960 in words is "ten trillion, nine hundred four billion, one hundred ninety-one million, six hundred eight thousand, nine hundred sixty".