110540086272 has 1188 divisors, whose sum is σ = 434621496400. Its totient is φ = 27022786560.

The previous prime is 110540086259. The next prime is 110540086297. The reversal of 110540086272 is 272680045011.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

110540086272 is a `hidden beast` number, since 1 + 10 + 540 + 0 + 86 + 27 + 2 = 666.

It is a super-2 number, since 2×110540086272² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6502358008 + ... + 6502358024.

Almost surely, 2^110540086272 is an apocalyptic number.

110540086272 is a gapful number since it is divisible by the number (12) 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 110540086272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217310748200).

110540086272 is an abundant number, since it is smaller than the sum of its proper divisors (324081410128).

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

110540086272 is a wasteful number, since it uses less digits than its factorization.

110540086272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 110540086272 in words is "one hundred ten billion, five hundred forty million, eighty-six thousand, two hundred seventy-two".