107860749577920 has 448 divisors, whose sum is σ = 385300057927680. Its totient is φ = 28755873192960.

The previous prime is 107860749577909. The next prime is 107860749577961. The reversal of 107860749577920 is 29775947068701.

107860749577920 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 6 + 0 + 7 + 49 + 577 + 9 + 2 + 0 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3291331135 + ... + 3291363905.

It is an arithmetic number, because the mean of its divisors is an integer number (860044772160).

Almost surely, 2^{107860749577920} is an apocalyptic number.

107860749577920 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 107860749577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192650028963840).

107860749577920 is an abundant number, since it is smaller than the sum of its proper divisors (277439308349760).

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

107860749577920 is an frugal number, since it uses more digits than its factorization.

107860749577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37512 (or 37484 counting only the distinct ones).

The product of its (nonzero) digits is 373403520, while the sum is 72.

The spelling of 107860749577920 in words is "one hundred seven trillion, eight hundred sixty billion, seven hundred forty-nine million, five hundred seventy-seven thousand, nine hundred twenty".