11571134400 has 1134 divisors, whose sum is σ = 51624841632. Its totient is φ = 2448230400.

The previous prime is 11571134363. The next prime is 11571134459. The reversal of 11571134400 is 443117511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 373262385 + ... + 373262415.

Almost surely, 2^11571134400 is an apocalyptic number.

11571134400 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 11571134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25812420816).

11571134400 is an abundant number, since it is smaller than the sum of its proper divisors (40053707232).

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

11571134400 is a wasteful number, since it uses less digits than its factorization.

11571134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11571134400 in words is "eleven billion, five hundred seventy-one million, one hundred thirty-four thousand, four hundred".