85679741952 has 440 divisors, whose sum is σ = 294442379616. Its totient is φ = 24309891072.

The previous prime is 85679741921. The next prime is 85679741971. The reversal of 85679741952 is 25914797658.

85679741952 is a `hidden beast` number, since 8 + 567 + 9 + 7 + 4 + 19 + 52 = 666.

It is a super-2 number, since 2×85679741952² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 85679741952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 100444758 + ... + 100445610.

Almost surely, 2^85679741952 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 85679741952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147221189808).

85679741952 is an abundant number, since it is smaller than the sum of its proper divisors (208762637664).

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

85679741952 is a wasteful number, since it uses less digits than its factorization.

85679741952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1038 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 85679741952 in words is "eighty-five billion, six hundred seventy-nine million, seven hundred forty-one thousand, nine hundred fifty-two".