108579753984 has 208 divisors, whose sum is σ = 330129015552. Its totient is φ = 31443124224.

The previous prime is 108579753983. The next prime is 108579754111. The reversal of 108579753984 is 489357975801.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is not an unprimeable number, because it can be changed into a prime (108579753983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2695657 + ... + 2735639.

Almost surely, 2^108579753984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108579753984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165064507776).

108579753984 is an abundant number, since it is smaller than the sum of its proper divisors (221549261568).

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

108579753984 is a wasteful number, since it uses less digits than its factorization.

108579753984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40040 (or 40018 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 108579753984 in words is "one hundred eight billion, five hundred seventy-nine million, seven hundred fifty-three thousand, nine hundred eighty-four".