11892359160900 has 135 divisors (see below), whose sum is σ = 38551336299399. Its totient is φ = 3171213011520.

The previous prime is 11892359160887. The next prime is 11892359160901. The reversal of 11892359160900 is 906195329811.

The square root of 11892359160900 is 3448530.

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

11892359160900 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 23 + 5 + 9 + 1 + 609 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1117297476 + 11891241863424 = 33426^2 + 3448368^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11892359160901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 310348542 + ... + 310386858.

Almost surely, 2^{11892359160900} is an apocalyptic number.

11892359160900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11892359160900 is the 3448530-th square number.

It is an amenable number.

11892359160900 is an abundant number, since it is smaller than the sum of its proper divisors (26658977138499).

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

11892359160900 is an frugal number, since it uses more digits than its factorization.

11892359160900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76660 (or 38327 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 54.

The spelling of 11892359160900 in words is "eleven trillion, eight hundred ninety-two billion, three hundred fifty-nine million, one hundred sixty thousand, nine hundred".