8379815109120 has 4480 divisors, whose sum is σ = 40575028032000. Its totient is φ = 1643390042112.

The previous prime is 8379815109031. The next prime is 8379815109151. The reversal of 8379815109120 is 219015189738.

8379815109120 is a `hidden beast` number, since 8 + 37 + 9 + 8 + 1 + 510 + 91 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 158109719014 + ... + 158109719066.

It is an arithmetic number, because the mean of its divisors is an integer number (9056925900).

Almost surely, 2^{8379815109120} is an apocalyptic number.

8379815109120 is a gapful number since it is divisible by the number (80) 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 8379815109120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287514016000).

8379815109120 is an abundant number, since it is smaller than the sum of its proper divisors (32195212922880).

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

8379815109120 is an equidigital number, since it uses as much as digits as its factorization.

8379815109120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 8379815109120 in words is "eight trillion, three hundred seventy-nine billion, eight hundred fifteen million, one hundred nine thousand, one hundred twenty".