108579378600 has 1152 divisors, whose sum is σ = 482677678080. Its totient is φ = 21212928000.

The previous prime is 108579378577. The next prime is 108579378617. The reversal of 108579378600 is 6873975801.

108579378600 is a `hidden beast` number, since 1 + 0 + 8 + 579 + 3 + 7 + 8 + 60 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 158973859 + ... + 158974541.

It is an arithmetic number, because the mean of its divisors is an integer number (418991040).

Almost surely, 2^108579378600 is an apocalyptic number.

108579378600 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 108579378600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241338839040).

108579378600 is an abundant number, since it is smaller than the sum of its proper divisors (374098299480).

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

108579378600 is a wasteful number, since it uses less digits than its factorization.

108579378600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 108579378600 in words is "one hundred eight billion, five hundred seventy-nine million, three hundred seventy-eight thousand, six hundred".