11100534400 has 96 divisors (see below), whose sum is σ = 27453242880. Its totient is φ = 4435123200.

The previous prime is 11100534397. The next prime is 11100534433. The reversal of 11100534400 is 443500111.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4129857 + ... + 4132543.

It is an arithmetic number, because the mean of its divisors is an integer number (285971280).

Almost surely, 2^11100534400 is an apocalyptic number.

11100534400 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 11100534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13726621440).

11100534400 is an abundant number, since it is smaller than the sum of its proper divisors (16352708480).

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

11100534400 is a wasteful number, since it uses less digits than its factorization.

11100534400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The spelling of 11100534400 in words is "eleven billion, one hundred million, five hundred thirty-four thousand, four hundred".