11008173080960 has 128 divisors (see below), whose sum is σ = 29102087820960. Its totient is φ = 3948136611840.

The previous prime is 11008173080959. The next prime is 11008173081013. The reversal of 11008173080960 is 6908037180011.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10196087 + ... + 11223926.

Almost surely, 2^{11008173080960} is an apocalyptic number.

11008173080960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11008173080960 is an abundant number, since it is smaller than the sum of its proper divisors (18093914740000).

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

11008173080960 is a wasteful number, since it uses less digits than its factorization.

11008173080960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21420116 (or 21420104 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 11008173080960 in words is "eleven trillion, eight billion, one hundred seventy-three million, eighty thousand, nine hundred sixty".