11564440900 has 18 divisors (see below), whose sum is σ = 25094836970. Its totient is φ = 4625776320.

The previous prime is 11564440847. The next prime is 11564440903. The reversal of 11564440900 is 904446511.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 154355776 + 11410085124 = 12424^2 + 106818^2 .

It is not an unprimeable number, because it can be changed into a prime (11564440903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57822105 + ... + 57822304.

Almost surely, 2^11564440900 is an apocalyptic number.

11564440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11564440900 is an abundant number, since it is smaller than the sum of its proper divisors (13530396070).

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

11564440900 is a wasteful number, since it uses less digits than its factorization.

11564440900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115644423 (or 115644416 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 11564440900 in words is "eleven billion, five hundred sixty-four million, four hundred forty thousand, nine hundred".