107985331250784 has 960 divisors, whose sum is σ = 374703025213440. Its totient is φ = 30227300167680.

The previous prime is 107985331250743. The next prime is 107985331250809. The reversal of 107985331250784 is 487052133589701.

It is a happy number.

107985331250784 is a `hidden beast` number, since 1 + 0 + 7 + 9 + 8 + 5 + 33 + 12 + 507 + 84 = 666.

It is a super-2 number, since 2×107985331250784² (a number of 29 digits) contains 22 as substring.

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, 1505804689 + ... + 1505876399.

It is an arithmetic number, because the mean of its divisors is an integer number (390315651264).

Almost surely, 2^{107985331250784} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107985331250784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187351512606720).

107985331250784 is an abundant number, since it is smaller than the sum of its proper divisors (266717693962656).

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

107985331250784 is a wasteful number, since it uses less digits than its factorization.

107985331250784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71865 (or 71848 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 107985331250784 in words is "one hundred seven trillion, nine hundred eighty-five billion, three hundred thirty-one million, two hundred fifty thousand, seven hundred eighty-four".