108093696480 has 960 divisors, whose sum is σ = 500732305920. Its totient is φ = 21275136000.

The previous prime is 108093696479. The next prime is 108093696493. The reversal of 108093696480 is 84696390801.

108093696480 is a `hidden beast` number, since 10 + 8 + 0 + 93 + 69 + 6 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18957630 + ... + 18963330.

It is an arithmetic number, because the mean of its divisors is an integer number (521596152).

Almost surely, 2^108093696480 is an apocalyptic number.

108093696480 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 108093696480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250366152960).

108093696480 is an abundant number, since it is smaller than the sum of its proper divisors (392638609440).

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

108093696480 is a wasteful number, since it uses less digits than its factorization.

108093696480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5765 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 108093696480 in words is "one hundred eight billion, ninety-three million, six hundred ninety-six thousand, four hundred eighty".