85822338960 has 240 divisors, whose sum is σ = 306039876480. Its totient is φ = 21478625280.

The previous prime is 85822338937. The next prime is 85822338983. The reversal of 85822338960 is 6983322858.

85822338960 is a `hidden beast` number, since 8 + 582 + 23 + 38 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (85822338937) and next prime (85822338983).

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85822338897 and 85822338906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4384395 + ... + 4403925.

It is an arithmetic number, because the mean of its divisors is an integer number (1275166152).

Almost surely, 2^85822338960 is an apocalyptic number.

85822338960 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 85822338960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153019938240).

85822338960 is an abundant number, since it is smaller than the sum of its proper divisors (220217537520).

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

85822338960 is a wasteful number, since it uses less digits than its factorization.

85822338960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19926 (or 19917 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 85822338960 in words is "eighty-five billion, eight hundred twenty-two million, three hundred thirty-eight thousand, nine hundred sixty".