10904630400 has 192 divisors, whose sum is σ = 39908234400. Its totient is φ = 2907878400.

The previous prime is 10904630381. The next prime is 10904630543. The reversal of 10904630400 is 403640901.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23295 + ... + 149505.

Almost surely, 2^10904630400 is an apocalyptic number.

10904630400 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 10904630400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19954117200).

10904630400 is an abundant number, since it is smaller than the sum of its proper divisors (29003604000).

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

10904630400 is a wasteful number, since it uses less digits than its factorization.

10904630400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126244 (or 126221 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 10904630400 in words is "ten billion, nine hundred four million, six hundred thirty thousand, four hundred".