10904589561600 has 5184 divisors, whose sum is σ = 53368344207360. Its totient is φ = 2063912140800.

The previous prime is 10904589561553. The next prime is 10904589561601. The reversal of 10904589561600 is 616598540901.

10904589561600 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 4 + 589 + 56 + 1 + 6 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904589561601) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 149377939164 + ... + 149377939236.

Almost surely, 2^{10904589561600} is an apocalyptic number.

10904589561600 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 10904589561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26684172103680).

10904589561600 is an abundant number, since it is smaller than the sum of its proper divisors (42463754645760).

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

10904589561600 is a wasteful number, since it uses less digits than its factorization.

10904589561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The spelling of 10904589561600 in words is "ten trillion, nine hundred four billion, five hundred eighty-nine million, five hundred sixty-one thousand, six hundred".