11541204900 has 81 divisors (see below), whose sum is σ = 36185370403. Its totient is φ = 3076795200.

The previous prime is 11541204887. The next prime is 11541204901. The reversal of 11541204900 is 940214511.

The square root of 11541204900 is 107430.

It is a perfect power (a square), and thus also a powerful number.

11541204900 is a `hidden beast` number, since 1 + 1 + 54 + 120 + 490 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1058721444 + 10482483456 = 32538^2 + 102384^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11541204901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3221110 + ... + 3224690.

Almost surely, 2^11541204900 is an apocalyptic number.

11541204900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11541204900 is the 107430-th square number.

It is an amenable number.

11541204900 is an abundant number, since it is smaller than the sum of its proper divisors (24644165503).

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

11541204900 is an equidigital number, since it uses as much as digits as its factorization.

11541204900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7182 (or 3591 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 11541204900 in words is "eleven billion, five hundred forty-one million, two hundred four thousand, nine hundred".