11572360909200 has 2880 divisors, whose sum is σ = 55036073299200. Its totient is φ = 2311017246720.

The previous prime is 11572360909199. The next prime is 11572360909259. The reversal of 11572360909200 is 290906327511.

It is a happy number.

11572360909200 is a `hidden beast` number, since 1 + 15 + 7 + 2 + 3 + 609 + 0 + 9 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10587703854 + ... + 10587704946.

Almost surely, 2^{11572360909200} is an apocalyptic number.

11572360909200 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 11572360909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518036649600).

11572360909200 is an abundant number, since it is smaller than the sum of its proper divisors (43463712390000).

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

11572360909200 is a wasteful number, since it uses less digits than its factorization.

11572360909200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 11572360909200 in words is "eleven trillion, five hundred seventy-two billion, three hundred sixty million, nine hundred nine thousand, two hundred".