108779521536 has 960 divisors, whose sum is σ = 396799603200. Its totient is φ = 29095428096.

The previous prime is 108779521531. The next prime is 108779521589. The reversal of 108779521536 is 635125977801.

108779521536 is a `hidden beast` number, since 1 + 0 + 87 + 7 + 9 + 5 + 21 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108779521531) 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, 1490130396 + ... + 1490130468.

It is an arithmetic number, because the mean of its divisors is an integer number (413332920).

Almost surely, 2^108779521536 is an apocalyptic number.

108779521536 is a gapful number since it is divisible by the number (16) 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 108779521536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198399801600).

108779521536 is an abundant number, since it is smaller than the sum of its proper divisors (288020081664).

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

108779521536 is an frugal number, since it uses more digits than its factorization.

108779521536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 108779521536 in words is "one hundred eight billion, seven hundred seventy-nine million, five hundred twenty-one thousand, five hundred thirty-six".