11545520536900 has 81 divisors (see below), whose sum is σ = 29144792971287. Its totient is φ = 3958382635200.

The previous prime is 11545520536889. The next prime is 11545520536961. The reversal of 11545520536900 is 963502554511.

The square root of 11545520536900 is 3397870.

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 6002019809604 + 5543500727296 = 2449902^2 + 2354464^2 .

It is a super-2 number, since 2×11545520536900² (a number of 27 digits) contains 22 as substring.

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, 237826630 + ... + 237875170.

Almost surely, 2^{11545520536900} is an apocalyptic number.

11545520536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11545520536900 is the 3397870-th square number.

It is an amenable number.

11545520536900 is an abundant number, since it is smaller than the sum of its proper divisors (17599272434387).

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

11545520536900 is an frugal number, since it uses more digits than its factorization.

11545520536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97110 (or 48555 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 46.

The spelling of 11545520536900 in words is "eleven trillion, five hundred forty-five billion, five hundred twenty million, five hundred thirty-six thousand, nine hundred".