11155584400 has 45 divisors (see below), whose sum is σ = 26806367523. Its totient is φ = 4461388800.

The previous prime is 11155584389. The next prime is 11155584421. The reversal of 11155584400 is 448555111.

The square root of 11155584400 is 105620.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3101598864 + 8053985536 = 55692^2 + 89744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2109760 + ... + 2115040.

Almost surely, 2^11155584400 is an apocalyptic number.

11155584400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11155584400 is the 105620-th square number.

It is an amenable number.

11155584400 is an abundant number, since it is smaller than the sum of its proper divisors (15650783123).

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

11155584400 is an frugal number, since it uses more digits than its factorization.

11155584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10580 (or 5288 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 34.

The spelling of 11155584400 in words is "eleven billion, one hundred fifty-five million, five hundred eighty-four thousand, four hundred".