85715913000960 has 1152 divisors, whose sum is σ = 336864545297280. Its totient is φ = 20731487846400.

The previous prime is 85715913000953. The next prime is 85715913001001. The reversal of 85715913000960 is 6900031951758.

85715913000960 is a `hidden beast` number, since 8 + 571 + 5 + 9 + 1 + 3 + 0 + 0 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 85715913000897 and 85715913000906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12618267324 + ... + 12618274116.

It is an arithmetic number, because the mean of its divisors is an integer number (292417140015).

Almost surely, 2^{85715913000960} is an apocalyptic number.

85715913000960 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 85715913000960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168432272648640).

85715913000960 is an abundant number, since it is smaller than the sum of its proper divisors (251148632296320).

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

85715913000960 is a wasteful number, since it uses less digits than its factorization.

85715913000960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7307 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 85715913000960 in words is "eighty-five trillion, seven hundred fifteen billion, nine hundred thirteen million, nine hundred sixty", and thus it is an aban number.