11402092800 has 324 divisors, whose sum is σ = 46590281920. Its totient is φ = 2606100480.

The previous prime is 11402092789. The next prime is 11402092817. The reversal of 11402092800 is 829020411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 389061 + ... + 417339.

Almost surely, 2^11402092800 is an apocalyptic number.

11402092800 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 11402092800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23295140960).

11402092800 is an abundant number, since it is smaller than the sum of its proper divisors (35188189120).

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

11402092800 is a wasteful number, since it uses less digits than its factorization.

11402092800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28318 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 11402092800 in words is "eleven billion, four hundred two million, ninety-two thousand, eight hundred".