108829008000 has 768 divisors, whose sum is σ = 423277021440. Its totient is φ = 27736473600.

The previous prime is 108829007951. The next prime is 108829008011. The reversal of 108829008000 is 800928801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89423392 + ... + 89424608.

It is an arithmetic number, because the mean of its divisors is an integer number (551141955).

Almost surely, 2^108829008000 is an apocalyptic number.

108829008000 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 108829008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211638510720).

108829008000 is an abundant number, since it is smaller than the sum of its proper divisors (314448013440).

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

108829008000 is an equidigital number, since it uses as much as digits as its factorization.

108829008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 108829008000 in words is "one hundred eight billion, eight hundred twenty-nine million, eight thousand".