11521136718400 has 63 divisors (see below), whose sum is σ = 28349531123659. Its totient is φ = 4608400378880.

The previous prime is 11521136718397. The next prime is 11521136718401. The reversal of 11521136718400 is 481763112511.

It is a happy number.

The square root of 11521136718400 is 3394280.

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 1364728622656 + 10156408095744 = 1168216^2 + 3186912^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11521136718401) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 135728772 + ... + 135813628.

Almost surely, 2^{11521136718400} is an apocalyptic number.

11521136718400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11521136718400 is the 3394280-th square number.

It is an amenable number.

11521136718400 is an abundant number, since it is smaller than the sum of its proper divisors (16828394405259).

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

11521136718400 is an frugal number, since it uses more digits than its factorization.

11521136718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169736 (or 84864 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 40.

The spelling of 11521136718400 in words is "eleven trillion, five hundred twenty-one billion, one hundred thirty-six million, seven hundred eighteen thousand, four hundred".