110861567040 has 504 divisors, whose sum is σ = 417821181120. Its totient is φ = 24832045056.

The previous prime is 110861567029. The next prime is 110861567051. The reversal of 110861567040 is 40765168011.

It is an interprime number because it is at equal distance from previous prime (110861567029) and next prime (110861567051).

It is a self number, because there is not a number n which added to its sum of digits gives 110861567040.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132134941 + ... + 132135779.

It is an arithmetic number, because the mean of its divisors is an integer number (829010280).

Almost surely, 2^110861567040 is an apocalyptic number.

110861567040 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 110861567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208910590560).

110861567040 is an abundant number, since it is smaller than the sum of its proper divisors (306959614080).

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

110861567040 is an equidigital number, since it uses as much as digits as its factorization.

110861567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 110861567040 in words is "one hundred ten billion, eight hundred sixty-one million, five hundred sixty-seven thousand, forty".