110809696140 has 1152 divisors, whose sum is σ = 442707213312. Its totient is φ = 22852730880.

The previous prime is 110809696069. The next prime is 110809696147. The reversal of 110809696140 is 41696908011.

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

It is not an unprimeable number, because it can be changed into a prime (110809696147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 980616724 + ... + 980616836.

It is an arithmetic number, because the mean of its divisors is an integer number (384294456).

Almost surely, 2^110809696140 is an apocalyptic number.

110809696140 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 110809696140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221353606656).

110809696140 is an abundant number, since it is smaller than the sum of its proper divisors (331897517172).

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

110809696140 is a wasteful number, since it uses less digits than its factorization.

110809696140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 110809696140 in words is "one hundred ten billion, eight hundred nine million, six hundred ninety-six thousand, one hundred forty".