11560550400 has 567 divisors, whose sum is σ = 48173655621. Its totient is φ = 2642411520.

The previous prime is 11560550383. The next prime is 11560550413. The reversal of 11560550400 is 405506511.

It is a happy number.

The square root of 11560550400 is 107520.

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

11560550400 is a `hidden beast` number, since 1 + 1 + 5 + 605 + 50 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4161798144 + 7398752256 = 64512^2 + 86016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1651507197 + ... + 1651507203.

Almost surely, 2^11560550400 is an apocalyptic number.

11560550400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11560550400 is the 107520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11560550400

11560550400 is an abundant number, since it is smaller than the sum of its proper divisors (36613105221).

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

11560550400 is an frugal number, since it uses more digits than its factorization.

11560550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 11560550400 in words is "eleven billion, five hundred sixty million, five hundred fifty thousand, four hundred".