85026467680 has 576 divisors, whose sum is σ = 268007878656. Its totient is φ = 24908083200.

The previous prime is 85026467677. The next prime is 85026467741. The reversal of 85026467680 is 8676462058.

It is a super-2 number, since 2×85026467680² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 155441167 + ... + 155441713.

It is an arithmetic number, because the mean of its divisors is an integer number (465291456).

Almost surely, 2^85026467680 is an apocalyptic number.

85026467680 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 85026467680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134003939328).

85026467680 is an abundant number, since it is smaller than the sum of its proper divisors (182981410976).

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

85026467680 is a wasteful number, since it uses less digits than its factorization.

85026467680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 52.

The spelling of 85026467680 in words is "eighty-five billion, twenty-six million, four hundred sixty-seven thousand, six hundred eighty".