108688742880 has 192 divisors, whose sum is σ = 354833934336. Its totient is φ = 27936000000.

The previous prime is 108688742863. The next prime is 108688742893. The reversal of 108688742880 is 88247886801.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3720330 + ... + 3749430.

It is an arithmetic number, because the mean of its divisors is an integer number (1848093408).

Almost surely, 2^108688742880 is an apocalyptic number.

108688742880 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 108688742880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177416967168).

108688742880 is an abundant number, since it is smaller than the sum of its proper divisors (246145191456).

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

108688742880 is a wasteful number, since it uses less digits than its factorization.

108688742880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29401 (or 29393 counting only the distinct ones).

The product of its (nonzero) digits is 11010048, while the sum is 60.

The spelling of 108688742880 in words is "one hundred eight billion, six hundred eighty-eight million, seven hundred forty-two thousand, eight hundred eighty".