11105778400 has 72 divisors (see below), whose sum is σ = 27127170000. Its totient is φ = 4439823360.

The previous prime is 11105778391. The next prime is 11105778457. The reversal of 11105778400 is 487750111.

It is a congruent number.

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, 2219101 + ... + 2224099.

It is an arithmetic number, because the mean of its divisors is an integer number (376766250).

Almost surely, 2^11105778400 is an apocalyptic number.

11105778400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11105778400 is an abundant number, since it is smaller than the sum of its proper divisors (16021391600).

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

11105778400 is a wasteful number, since it uses less digits than its factorization.

11105778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7796 (or 7783 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 34.

The spelling of 11105778400 in words is "eleven billion, one hundred five million, seven hundred seventy-eight thousand, four hundred".