110196268560 has 800 divisors, whose sum is σ = 457105862400. Its totient is φ = 24580620288.

The previous prime is 110196268537. The next prime is 110196268579. The reversal of 110196268560 is 65862691011.

110196268560 is a `hidden beast` number, since 1 + 1 + 0 + 19 + 626 + 8 + 5 + 6 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 95572944 + ... + 95574096.

It is an arithmetic number, because the mean of its divisors is an integer number (571382328).

Almost surely, 2^110196268560 is an apocalyptic number.

110196268560 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 110196268560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228552931200).

110196268560 is an abundant number, since it is smaller than the sum of its proper divisors (346909593840).

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

110196268560 is a wasteful number, since it uses less digits than its factorization.

110196268560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 110196268560 in words is "one hundred ten billion, one hundred ninety-six million, two hundred sixty-eight thousand, five hundred sixty".