11135204150400 has 1152 divisors, whose sum is σ = 43979835556800. Its totient is φ = 2660216832000.

The previous prime is 11135204150393. The next prime is 11135204150417. The reversal of 11135204150400 is 405140253111.

11135204150400 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 5 + 204 + 1 + 50 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6515624746 + ... + 6515626454.

Almost surely, 2^{11135204150400} is an apocalyptic number.

11135204150400 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 11135204150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989917778400).

11135204150400 is an abundant number, since it is smaller than the sum of its proper divisors (32844631406400).

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

11135204150400 is a wasteful number, since it uses less digits than its factorization.

11135204150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11135204150400 in words is "eleven trillion, one hundred thirty-five billion, two hundred four million, one hundred fifty thousand, four hundred".