108129355980800 has 1344 divisors, whose sum is σ = 344365002229248. Its totient is φ = 32699842560000.

The previous prime is 108129355980799. The next prime is 108129355980809. The reversal of 108129355980800 is 8089553921801.

It is a self number, because there is not a number n which added to its sum of digits gives 108129355980800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108129355980809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122734796360 + ... + 122734797240.

It is an arithmetic number, because the mean of its divisors is an integer number (256223959992).

Almost surely, 2^{108129355980800} is an apocalyptic number.

108129355980800 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 108129355980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172182501114624).

108129355980800 is an abundant number, since it is smaller than the sum of its proper divisors (236235646248448).

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

108129355980800 is a wasteful number, since it uses less digits than its factorization.

108129355980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1130 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 59.

The spelling of 108129355980800 in words is "one hundred eight trillion, one hundred twenty-nine billion, three hundred fifty-five million, nine hundred eighty thousand, eight hundred".