108078566400 has 792 divisors, whose sum is σ = 465662695680. Its totient is φ = 23396843520.

The previous prime is 108078566389. The next prime is 108078566413. The reversal of 108078566400 is 4665870801.

It is a happy number.

108078566400 is a `hidden beast` number, since 1 + 0 + 80 + 7 + 8 + 566 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30641437 + ... + 30644963.

Almost surely, 2^108078566400 is an apocalyptic number.

108078566400 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 108078566400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232831347840).

108078566400 is an abundant number, since it is smaller than the sum of its proper divisors (357584129280).

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

108078566400 is a wasteful number, since it uses less digits than its factorization.

108078566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 108078566400 in words is "one hundred eight billion, seventy-eight million, five hundred sixty-six thousand, four hundred".