108729653760 has 480 divisors, whose sum is σ = 463469086080. Its totient is φ = 22940319744.

The previous prime is 108729653743. The next prime is 108729653771. The reversal of 108729653760 is 67356927801.

108729653760 is a `hidden beast` number, since 1 + 0 + 87 + 29 + 6 + 537 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 108729653697 and 108729653706.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2070711 + ... + 2122569.

It is an arithmetic number, because the mean of its divisors is an integer number (965560596).

Almost surely, 2^108729653760 is an apocalyptic number.

108729653760 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 108729653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231734543040).

108729653760 is an abundant number, since it is smaller than the sum of its proper divisors (354739432320).

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

108729653760 is a wasteful number, since it uses less digits than its factorization.

108729653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51908 (or 51889 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 108729653760 in words is "one hundred eight billion, seven hundred twenty-nine million, six hundred fifty-three thousand, seven hundred sixty".