110552813280 has 1536 divisors, whose sum is σ = 514941235200. Its totient is φ = 21558804480.

The previous prime is 110552813213. The next prime is 110552813281. The reversal of 110552813280 is 82318255011.

110552813280 is a `hidden beast` number, since 1 + 1 + 0 + 55 + 281 + 328 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110552813281) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2696410060 + ... + 2696410100.

It is an arithmetic number, because the mean of its divisors is an integer number (335248200).

Almost surely, 2^110552813280 is an apocalyptic number.

110552813280 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 110552813280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257470617600).

110552813280 is an abundant number, since it is smaller than the sum of its proper divisors (404388421920).

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

110552813280 is a wasteful number, since it uses less digits than its factorization.

110552813280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 110552813280 in words is "one hundred ten billion, five hundred fifty-two million, eight hundred thirteen thousand, two hundred eighty".