108260405760 has 640 divisors, whose sum is σ = 389787552000. Its totient is φ = 25449725952.

The previous prime is 108260405753. The next prime is 108260405797. The reversal of 108260405760 is 67504062801.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 402454906 + ... + 402455174.

It is an arithmetic number, because the mean of its divisors is an integer number (609043050).

Almost surely, 2^108260405760 is an apocalyptic number.

108260405760 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 108260405760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194893776000).

108260405760 is an abundant number, since it is smaller than the sum of its proper divisors (281527146240).

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

108260405760 is a wasteful number, since it uses less digits than its factorization.

108260405760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 108260405760 in words is "one hundred eight billion, two hundred sixty million, four hundred five thousand, seven hundred sixty".