11164332670600 has 24 divisors (see below), whose sum is σ = 25957073459610. Its totient is φ = 4465733068160.

The previous prime is 11164332670573. The next prime is 11164332670619. The reversal of 11164332670600 is 607623346111.

It can be written as a sum of positive squares in 3 ways, for example, as 10816560633316 + 347772037284 = 3288854^2 + 589722^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27910831477 + ... + 27910831876.

Almost surely, 2^{11164332670600} is an apocalyptic number.

11164332670600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164332670600 is an abundant number, since it is smaller than the sum of its proper divisors (14792740789010).

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

11164332670600 is a wasteful number, since it uses less digits than its factorization.

11164332670600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55821663369 (or 55821663360 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 11164332670600 in words is "eleven trillion, one hundred sixty-four billion, three hundred thirty-two million, six hundred seventy thousand, six hundred".