85038322320 has 480 divisors, whose sum is σ = 330253148160. Its totient is φ = 19208770560.

The previous prime is 85038322319. The next prime is 85038322321. The reversal of 85038322320 is 2322383058.

It is a happy number.

85038322320 is a `hidden beast` number, since 8 + 5 + 0 + 3 + 8 + 322 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (85038322319) and next prime (85038322321).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85038322321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 273434965 + ... + 273435275.

It is an arithmetic number, because the mean of its divisors is an integer number (688027392).

Almost surely, 2^85038322320 is an apocalyptic number.

85038322320 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 85038322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165126574080).

85038322320 is an abundant number, since it is smaller than the sum of its proper divisors (245214825840).

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

85038322320 is a wasteful number, since it uses less digits than its factorization.

85038322320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 85038322320 in words is "eighty-five billion, thirty-eight million, three hundred twenty-two thousand, three hundred twenty".