107785974804480 has 936 divisors, whose sum is σ = 435687929866800. Its totient is φ = 24575715311616.

The previous prime is 107785974804427. The next prime is 107785974804499. The reversal of 107785974804480 is 84408479587701.

107785974804480 is a `hidden beast` number, since 1 + 0 + 7 + 78 + 5 + 9 + 74 + 8 + 0 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 107785974804399 and 107785974804408.

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, 3693942531 + ... + 3693971709.

It is an arithmetic number, because the mean of its divisors is an integer number (465478557550).

Almost surely, 2^{107785974804480} is an apocalyptic number.

107785974804480 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 107785974804480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217843964933400).

107785974804480 is an abundant number, since it is smaller than the sum of its proper divisors (327901955062320).

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

107785974804480 is a wasteful number, since it uses less digits than its factorization.

107785974804480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29637 (or 29605 counting only the distinct ones).

The product of its (nonzero) digits is 505774080, while the sum is 72.

The spelling of 107785974804480 in words is "one hundred seven trillion, seven hundred eighty-five billion, nine hundred seventy-four million, eight hundred four thousand, four hundred eighty".