11289877095680 has 72 divisors (see below), whose sum is σ = 27114137887200. Its totient is φ = 4504035207168.

The previous prime is 11289877095619. The next prime is 11289877095709. The reversal of 11289877095680 is 8659077898211.

It is a super-4 number, since 4×11289877095680⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11151050 + ... + 12121289.

Almost surely, 2^{11289877095680} is an apocalyptic number.

11289877095680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11289877095680 is an abundant number, since it is smaller than the sum of its proper divisors (15824260791520).

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

11289877095680 is an equidigital number, since it uses as much as digits as its factorization.

11289877095680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23272739 (or 23272725 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 71.

The spelling of 11289877095680 in words is "eleven trillion, two hundred eighty-nine billion, eight hundred seventy-seven million, ninety-five thousand, six hundred eighty".