1110187913680 has 160 divisors (see below), whose sum is σ = 2650088669184. Its totient is φ = 432328555008.

The previous prime is 1110187913677. The next prime is 1110187913683. The reversal of 1110187913680 is 863197810111.

It is an interprime number because it is at equal distance from previous prime (1110187913677) and next prime (1110187913683).

It is a super-2 number, since 2×1110187913680² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1110187913680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110187913683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701318169 + ... + 701319751.

Almost surely, 2^{1110187913680} is an apocalyptic number.

1110187913680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110187913680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325044334592).

1110187913680 is an abundant number, since it is smaller than the sum of its proper divisors (1539900755504).

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

1110187913680 is a wasteful number, since it uses less digits than its factorization.

1110187913680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 46.

The spelling of 1110187913680 in words is "one trillion, one hundred ten billion, one hundred eighty-seven million, nine hundred thirteen thousand, six hundred eighty".