110253795840 has 640 divisors, whose sum is σ = 423571104000. Its totient is φ = 27088846848.

The previous prime is 110253795761. The next prime is 110253795871. The reversal of 110253795840 is 48597352011.

110253795840 is a `hidden beast` number, since 1 + 10 + 2 + 53 + 7 + 9 + 584 + 0 = 666.

110253795840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 48590226 + ... + 48592494.

It is an arithmetic number, because the mean of its divisors is an integer number (661829850).

Almost surely, 2^110253795840 is an apocalyptic number.

110253795840 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 110253795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211785552000).

110253795840 is an abundant number, since it is smaller than the sum of its proper divisors (313317308160).

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

110253795840 is a wasteful number, since it uses less digits than its factorization.

110253795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 110253795840 in words is "one hundred ten billion, two hundred fifty-three million, seven hundred ninety-five thousand, eight hundred forty".