11204904960 has 672 divisors, whose sum is σ = 42968016000. Its totient is φ = 2794881024.

The previous prime is 11204904943. The next prime is 11204905007. The reversal of 11204904960 is 6940940211.

It is a happy number.

11204904960 is a `hidden beast` number, since 1 + 120 + 49 + 0 + 496 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141834201 + ... + 141834279.

It is an arithmetic number, because the mean of its divisors is an integer number (63940500).

Almost surely, 2^11204904960 is an apocalyptic number.

11204904960 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 11204904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21484008000).

11204904960 is an abundant number, since it is smaller than the sum of its proper divisors (31763111040).

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

11204904960 is an frugal number, since it uses more digits than its factorization.

11204904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 11204904960 in words is "eleven billion, two hundred four million, nine hundred four thousand, nine hundred sixty".