8113879388160 has 1872 divisors, whose sum is σ = 35198965960704. Its totient is φ = 1692662759424.

The previous prime is 8113879388117. The next prime is 8113879388179. The reversal of 8113879388160 is 618839783118.

8113879388160 is a `hidden beast` number, since 8 + 1 + 1 + 387 + 93 + 8 + 8 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27692420974 + ... + 27692421266.

It is an arithmetic number, because the mean of its divisors is an integer number (18802866432).

Almost surely, 2^{8113879388160} is an apocalyptic number.

8113879388160 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 8113879388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599482980352).

8113879388160 is an abundant number, since it is smaller than the sum of its proper divisors (27085086572544).

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

8113879388160 is a wasteful number, since it uses less digits than its factorization.

8113879388160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 8113879388160 in words is "eight trillion, one hundred thirteen billion, eight hundred seventy-nine million, three hundred eighty-eight thousand, one hundred sixty".