85978386360 has 192 divisors, whose sum is σ = 291995383680. Its totient is φ = 22752213120.

The previous prime is 85978386317. The next prime is 85978386367. The reversal of 85978386360 is 6368387958.

85978386360 is a `hidden beast` number, since 8 + 597 + 8 + 3 + 8 + 6 + 36 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85978386367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1239559 + ... + 1307081.

It is an arithmetic number, because the mean of its divisors is an integer number (1520809290).

Almost surely, 2^85978386360 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 85978386360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145997691840).

85978386360 is an abundant number, since it is smaller than the sum of its proper divisors (206016997320).

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

85978386360 is a wasteful number, since it uses less digits than its factorization.

85978386360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67680 (or 67664 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 85978386360 in words is "eighty-five billion, nine hundred seventy-eight million, three hundred eighty-six thousand, three hundred sixty".