85703751168 has 160 divisors (see below), whose sum is σ = 265361944320. Its totient is φ = 24071577600.

The previous prime is 85703751157. The next prime is 85703751169. The reversal of 85703751168 is 86115730758.

It is a super-2 number, since 2×85703751168² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85703751168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85703751169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566818 + ... + 701918.

It is an arithmetic number, because the mean of its divisors is an integer number (1658512152).

Almost surely, 2^85703751168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85703751168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132680972160).

85703751168 is an abundant number, since it is smaller than the sum of its proper divisors (179658193152).

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

85703751168 is a wasteful number, since it uses less digits than its factorization.

85703751168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135188 (or 135172 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 51.

The spelling of 85703751168 in words is "eighty-five billion, seven hundred three million, seven hundred fifty-one thousand, one hundred sixty-eight".