85978526616 has 96 divisors (see below), whose sum is σ = 235413565920. Its totient is φ = 28346688000.

The previous prime is 85978526587. The next prime is 85978526663. The reversal of 85978526616 is 61662587958.

85978526616 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 8 + 5 + 2 + 6 + 616 = 666.

It is a super-2 number, since 2×85978526616² (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 23 ways as a sum of consecutive naturals, for example, 2516206 + ... + 2550146.

It is an arithmetic number, because the mean of its divisors is an integer number (2452224645).

Almost surely, 2^85978526616 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 85978526616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117706782960).

85978526616 is an abundant number, since it is smaller than the sum of its proper divisors (149435039304).

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

85978526616 is a wasteful number, since it uses less digits than its factorization.

85978526616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34337 (or 34330 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 85978526616 in words is "eighty-five billion, nine hundred seventy-eight million, five hundred twenty-six thousand, six hundred sixteen".