85945670628 has 192 divisors, whose sum is σ = 223102107648. Its totient is φ = 25631907840.

The previous prime is 85945670623. The next prime is 85945670633. The reversal of 85945670628 is 82607654958.

It is an interprime number because it is at equal distance from previous prime (85945670623) and next prime (85945670633).

It is not an unprimeable number, because it can be changed into a prime (85945670621) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 90755251 + ... + 90756197.

It is an arithmetic number, because the mean of its divisors is an integer number (1161990144).

Almost surely, 2^85945670628 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 85945670628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111551053824).

85945670628 is an abundant number, since it is smaller than the sum of its proper divisors (137156437020).

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

85945670628 is a wasteful number, since it uses less digits than its factorization.

85945670628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 85945670628 in words is "eighty-five billion, nine hundred forty-five million, six hundred seventy thousand, six hundred twenty-eight".