8113703727600 has 360 divisors, whose sum is σ = 28627584570000. Its totient is φ = 2127773921280.

The previous prime is 8113703727599. The next prime is 8113703727653. The reversal of 8113703727600 is 67273073118.

8113703727600 is a `hidden beast` number, since 8 + 1 + 1 + 3 + 7 + 0 + 37 + 2 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 52695526 + ... + 52849274.

It is an arithmetic number, because the mean of its divisors is an integer number (79521068250).

Almost surely, 2^{8113703727600} is an apocalyptic number.

8113703727600 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 8113703727600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313792285000).

8113703727600 is an abundant number, since it is smaller than the sum of its proper divisors (20513880842400).

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

8113703727600 is a wasteful number, since it uses less digits than its factorization.

8113703727600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154017 (or 154003 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 8113703727600 in words is "eight trillion, one hundred thirteen billion, seven hundred three million, seven hundred twenty-seven thousand, six hundred".