11511325600 has 72 divisors (see below), whose sum is σ = 29755118988. Its totient is φ = 4333670400.

The previous prime is 11511325597. The next prime is 11511325601. The reversal of 11511325600 is 652311511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 8853304464 + 2658021136 = 94092^2 + 51556^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (11511325601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 409611 + ... + 436810.

Almost surely, 2^11511325600 is an apocalyptic number.

11511325600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11511325600 is an abundant number, since it is smaller than the sum of its proper divisors (18243793388).

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

11511325600 is a wasteful number, since it uses less digits than its factorization.

11511325600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846458 (or 846445 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 11511325600 in words is "eleven billion, five hundred eleven million, three hundred twenty-five thousand, six hundred".