109760878080 has 1920 divisors, whose sum is σ = 505574784000. Its totient is φ = 21849440256.

The previous prime is 109760878069. The next prime is 109760878091. The reversal of 109760878080 is 80878067901.

109760878080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (109760878069) and next prime (109760878091).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2552578539 + ... + 2552578581.

It is an arithmetic number, because the mean of its divisors is an integer number (263320200).

Almost surely, 2^109760878080 is an apocalyptic number.

109760878080 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 109760878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252787392000).

109760878080 is an abundant number, since it is smaller than the sum of its proper divisors (395813905920).

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

109760878080 is a wasteful number, since it uses less digits than its factorization.

109760878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 109760878080 in words is "one hundred nine billion, seven hundred sixty million, eight hundred seventy-eight thousand, eighty".