8113980000 has 240 divisors, whose sum is σ = 30419262720. Its totient is φ = 1854528000.

The previous prime is 8113979999. The next prime is 8113980011. The reversal of 8113980000 is 893118.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 8113980000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 410341 + ... + 429659.

It is an arithmetic number, because the mean of its divisors is an integer number (126746928).

Almost surely, 2^8113980000 is an apocalyptic number.

8113980000 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 8113980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15209631360).

8113980000 is an abundant number, since it is smaller than the sum of its proper divisors (22305282720).

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

8113980000 is a wasteful number, since it uses less digits than its factorization.

8113980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 8113980000 is about 90077.6331838265. The cubic root of 8113980000 is about 2009.4535778605.

The spelling of 8113980000 in words is "eight billion, one hundred thirteen million, nine hundred eighty thousand".