110820953880 has 1536 divisors, whose sum is σ = 498161664000. Its totient is φ = 21134131200.

The previous prime is 110820953869. The next prime is 110820953921. The reversal of 110820953880 is 88359028011.

It is a happy number.

110820953880 is a `hidden beast` number, since 1 + 10 + 8 + 20 + 9 + 538 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

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, 845961415 + ... + 845961545.

It is an arithmetic number, because the mean of its divisors is an integer number (324324000).

Almost surely, 2^110820953880 is an apocalyptic number.

110820953880 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 110820953880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832000).

110820953880 is an abundant number, since it is smaller than the sum of its proper divisors (387340710120).

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

110820953880 is a wasteful number, since it uses less digits than its factorization.

110820953880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 110820953880 in words is "one hundred ten billion, eight hundred twenty million, nine hundred fifty-three thousand, eight hundred eighty".