108859392000 has 384 divisors, whose sum is σ = 392601310920. Its totient is φ = 29019340800.

The previous prime is 108859391933. The next prime is 108859392001. The reversal of 108859392000 is 293958801.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 49775394816 + 59083997184 = 223104^2 + 243072^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (108859392001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36862524 + ... + 36865476.

Almost surely, 2^108859392000 is an apocalyptic number.

108859392000 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 108859392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196300655460).

108859392000 is an abundant number, since it is smaller than the sum of its proper divisors (283741918920).

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

108859392000 is an frugal number, since it uses more digits than its factorization.

108859392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 108859392000 in words is "one hundred eight billion, eight hundred fifty-nine million, three hundred ninety-two thousand".