110991252240 has 640 divisors, whose sum is σ = 437114880000. Its totient is φ = 25637713920.

The previous prime is 110991252227. The next prime is 110991252257. The reversal of 110991252240 is 42252199011.

110991252240 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 91 + 2 + 522 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 110991252195 and 110991252204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54433141 + ... + 54435179.

It is an arithmetic number, because the mean of its divisors is an integer number (682992000).

Almost surely, 2^110991252240 is an apocalyptic number.

110991252240 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 110991252240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218557440000).

110991252240 is an abundant number, since it is smaller than the sum of its proper divisors (326123627760).

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

110991252240 is a wasteful number, since it uses less digits than its factorization.

110991252240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 110991252240 in words is "one hundred ten billion, nine hundred ninety-one million, two hundred fifty-two thousand, two hundred forty".