85938028680 has 384 divisors, whose sum is σ = 308979982080. Its totient is φ = 19054264320.

The previous prime is 85938028633. The next prime is 85938028691. The reversal of 85938028680 is 8682083958.

It is a self number, because there is not a number n which added to its sum of digits gives 85938028680.

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, 46527517 + ... + 46529363.

It is an arithmetic number, because the mean of its divisors is an integer number (804635370).

Almost surely, 2^85938028680 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 85938028680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154489991040).

85938028680 is an abundant number, since it is smaller than the sum of its proper divisors (223041953400).

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

85938028680 is a wasteful number, since it uses less digits than its factorization.

85938028680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 57.

The spelling of 85938028680 in words is "eighty-five billion, nine hundred thirty-eight million, twenty-eight thousand, six hundred eighty".