108253735680 has 576 divisors, whose sum is σ = 374644988928. Its totient is φ = 26568622080.

The previous prime is 108253735663. The next prime is 108253735687. The reversal of 108253735680 is 86537352801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (108253735687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 513050775 + ... + 513050985.

It is an arithmetic number, because the mean of its divisors is an integer number (650425328).

Almost surely, 2^108253735680 is an apocalyptic number.

108253735680 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 108253735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187322494464).

108253735680 is an abundant number, since it is smaller than the sum of its proper divisors (266391253248).

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

108253735680 is a wasteful number, since it uses less digits than its factorization.

108253735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 108253735680 in words is "one hundred eight billion, two hundred fifty-three million, seven hundred thirty-five thousand, six hundred eighty".