8105713217280 has 4608 divisors, whose sum is σ = 39205555200000. Its totient is φ = 1573159698432.

The previous prime is 8105713217279. The next prime is 8105713217281. The reversal of 8105713217280 is 827123175018.

8105713217280 is a `hidden beast` number, since 8 + 1 + 0 + 571 + 3 + 2 + 1 + 72 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8105713217279) and next prime (8105713217281).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8105713217281) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 111037167324 + ... + 111037167396.

It is an arithmetic number, because the mean of its divisors is an integer number (8508150000).

Almost surely, 2^{8105713217280} is an apocalyptic number.

8105713217280 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 8105713217280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19602777600000).

8105713217280 is an abundant number, since it is smaller than the sum of its proper divisors (31099841982720).

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

8105713217280 is a wasteful number, since it uses less digits than its factorization.

8105713217280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 8105713217280 in words is "eight trillion, one hundred five billion, seven hundred thirteen million, two hundred seventeen thousand, two hundred eighty".