110779438080 has 352 divisors, whose sum is σ = 361079009280. Its totient is φ = 28983951360.

The previous prime is 110779438039. The next prime is 110779438097. The reversal of 110779438080 is 80834977011.

It is a super-4 number, since 4×110779438080⁴ (a number of 45 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 212628220 + ... + 212628740.

It is an arithmetic number, because the mean of its divisors is an integer number (1025792640).

Almost surely, 2^110779438080 is an apocalyptic number.

110779438080 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 110779438080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180539504640).

110779438080 is an abundant number, since it is smaller than the sum of its proper divisors (250299571200).

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

110779438080 is a wasteful number, since it uses less digits than its factorization.

110779438080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 110779438080 in words is "one hundred ten billion, seven hundred seventy-nine million, four hundred thirty-eight thousand, eighty".