85715102753280 has 5760 divisors, whose sum is σ = 432388881340416. Its totient is φ = 15182069760000.

The previous prime is 85715102753207. The next prime is 85715102753299. The reversal of 85715102753280 is 8235720151758.

It is a happy number.

85715102753280 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 5 + 1 + 0 + 27 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 341494433155 + ... + 341494433405.

Almost surely, 2^{85715102753280} is an apocalyptic number.

85715102753280 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 85715102753280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216194440670208).

85715102753280 is an abundant number, since it is smaller than the sum of its proper divisors (346673778587136).

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

85715102753280 is a wasteful number, since it uses less digits than its factorization.

85715102753280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 85715102753280 in words is "eighty-five trillion, seven hundred fifteen billion, one hundred two million, seven hundred fifty-three thousand, two hundred eighty".