11292916800 has 168 divisors, whose sum is σ = 40418564832. Its totient is φ = 2737664000.

The previous prime is 11292916777. The next prime is 11292916823. The reversal of 11292916800 is 861929211.

It is an interprime number because it is at equal distance from previous prime (11292916777) and next prime (11292916823).

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, 54141 + ... + 159740.

Almost surely, 2^11292916800 is an apocalyptic number.

11292916800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11292916800 is an abundant number, since it is smaller than the sum of its proper divisors (29125648032).

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

11292916800 is a wasteful number, since it uses less digits than its factorization.

11292916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213917 (or 213902 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The spelling of 11292916800 in words is "eleven billion, two hundred ninety-two million, nine hundred sixteen thousand, eight hundred".