108878593824 has 1152 divisors, whose sum is σ = 443938682880. Its totient is φ = 25069824000.

The previous prime is 108878593799. The next prime is 108878593829. The reversal of 108878593824 is 428395878801.

108878593824 is a `hidden beast` number, since 10 + 8 + 8 + 7 + 8 + 593 + 8 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108878593829) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 831134239 + ... + 831134369.

It is an arithmetic number, because the mean of its divisors is an integer number (385363440).

Almost surely, 2^108878593824 is an apocalyptic number.

108878593824 is a gapful number since it is divisible by the number (14) 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 108878593824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221969341440).

108878593824 is an abundant number, since it is smaller than the sum of its proper divisors (335060089056).

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

108878593824 is a wasteful number, since it uses less digits than its factorization.

108878593824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 108878593824 in words is "one hundred eight billion, eight hundred seventy-eight million, five hundred ninety-three thousand, eight hundred twenty-four".