11000096000010 has 96 divisors (see below), whose sum is σ = 30801450672720. Its totient is φ = 2707612038144.

The previous prime is 11000095999961. The next prime is 11000096000011. The reversal of 11000096000010 is 1000069000011.

It can be written as a sum of positive squares in 8 ways, for example, as 2145466197081 + 8854629802929 = 1464741^2 + 2975673^2 .

It is a super-4 number, since 4×11000096000010⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11000096000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32917846 + ... + 33250334.

Almost surely, 2^{11000096000010} is an apocalyptic number.

11000096000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000096000010 is an abundant number, since it is smaller than the sum of its proper divisors (19801354672710).

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

11000096000010 is a wasteful number, since it uses less digits than its factorization.

11000096000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360792 (or 360789 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 11000096000010 in words is "eleven trillion, ninety-six million, ten", and thus it is an aban number and an uban number.