85676430336 has 176 divisors, whose sum is σ = 262593483264. Its totient is φ = 24327806976.

The previous prime is 85676430317. The next prime is 85676430337. The reversal of 85676430336 is 63303467658.

It is a super-2 number, since 2×85676430336² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85676430337) 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, 3492931 + ... + 3517373.

Almost surely, 2^85676430336 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 85676430336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131296741632).

85676430336 is an abundant number, since it is smaller than the sum of its proper divisors (176917052928).

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

85676430336 is a wasteful number, since it uses less digits than its factorization.

85676430336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24636 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 51.

The spelling of 85676430336 in words is "eighty-five billion, six hundred seventy-six million, four hundred thirty thousand, three hundred thirty-six".