11292134400 has 792 divisors, whose sum is σ = 45369216720. Its totient is φ = 2742681600.

The previous prime is 11292134393. The next prime is 11292134407. The reversal of 11292134400 is 443129211.

It is a happy number.

11292134400 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 213 + 440 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11292134393) and next prime (11292134407).

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

It is not an unprimeable number, because it can be changed into a prime (11292134407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364262385 + ... + 364262415.

Almost surely, 2^11292134400 is an apocalyptic number.

11292134400 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 11292134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22684608360).

11292134400 is an abundant number, since it is smaller than the sum of its proper divisors (34077082320).

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

11292134400 is a wasteful number, since it uses less digits than its factorization.

11292134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11292134400 in words is "eleven billion, two hundred ninety-two million, one hundred thirty-four thousand, four hundred".