110731387680 has 576 divisors, whose sum is σ = 420069162240. Its totient is φ = 26419396608.

The previous prime is 110731387667. The next prime is 110731387717. The reversal of 110731387680 is 86783137011.

It is a super-2 number, since 2×110731387680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108666211 + ... + 108667229.

It is an arithmetic number, because the mean of its divisors is an integer number (729286740).

Almost surely, 2^110731387680 is an apocalyptic number.

110731387680 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 110731387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210034581120).

110731387680 is an abundant number, since it is smaller than the sum of its proper divisors (309337774560).

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

110731387680 is a wasteful number, since it uses less digits than its factorization.

110731387680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 110731387680 in words is "one hundred ten billion, seven hundred thirty-one million, three hundred eighty-seven thousand, six hundred eighty".