110955381533920 has 384 divisors, whose sum is σ = 329942154608640. Its totient is φ = 34252622776320.

The previous prime is 110955381533917. The next prime is 110955381533933. The reversal of 110955381533920 is 29335183559011.

110955381533920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110955381533920² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9632373921 + ... + 9632385439.

It is an arithmetic number, because the mean of its divisors is an integer number (859224360960).

Almost surely, 2^{110955381533920} is an apocalyptic number.

110955381533920 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 110955381533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164971077304320).

110955381533920 is an abundant number, since it is smaller than the sum of its proper divisors (218986773074720).

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

110955381533920 is a wasteful number, since it uses less digits than its factorization.

110955381533920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18966 (or 18958 counting only the distinct ones).

The product of its (nonzero) digits is 4374000, while the sum is 55.

The spelling of 110955381533920 in words is "one hundred ten trillion, nine hundred fifty-five billion, three hundred eighty-one million, five hundred thirty-three thousand, nine hundred twenty".