108039509760 has 864 divisors, whose sum is σ = 452453299200. Its totient is φ = 21438922752.

The previous prime is 108039509723. The next prime is 108039509771. The reversal of 108039509760 is 67905930801.

108039509760 = T₄₆₅ + T₄₆₆ + ... + T₈₆₅₄.

It is a super-3 number, since 3×108039509760³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 77225541 + ... + 77226939.

It is an arithmetic number, because the mean of its divisors is an integer number (523672800).

Almost surely, 2^108039509760 is an apocalyptic number.

108039509760 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 108039509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226226649600).

108039509760 is an abundant number, since it is smaller than the sum of its proper divisors (344413789440).

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

108039509760 is a wasteful number, since it uses less digits than its factorization.

108039509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The spelling of 108039509760 in words is "one hundred eight billion, thirty-nine million, five hundred nine thousand, seven hundred sixty".