10904770800 has 1440 divisors, whose sum is σ = 51580698624. Its totient is φ = 2146176000.

The previous prime is 10904770759. The next prime is 10904770801. The reversal of 10904770800 is 807740901.

10904770800 is a `hidden beast` number, since 109 + 0 + 477 + 0 + 80 + 0 = 666.

10904770800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10904770801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 232016377 + ... + 232016423.

Almost surely, 2^10904770800 is an apocalyptic number.

10904770800 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 10904770800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25790349312).

10904770800 is an abundant number, since it is smaller than the sum of its proper divisors (40675927824).

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

10904770800 is a wasteful number, since it uses less digits than its factorization.

10904770800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 10904770800 in words is "ten billion, nine hundred four million, seven hundred seventy thousand, eight hundred".