85922952390 has 320 divisors, whose sum is σ = 258134817600. Its totient is φ = 20331648000.

The previous prime is 85922952361. The next prime is 85922952431. The reversal of 85922952390 is 9325922958.

85922952390 is a `hidden beast` number, since 8 + 5 + 9 + 2 + 29 + 523 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 80982460 + ... + 80983520.

It is an arithmetic number, because the mean of its divisors is an integer number (806671305).

Almost surely, 2^85922952390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85922952390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129067408800).

85922952390 is an abundant number, since it is smaller than the sum of its proper divisors (172211865210).

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

85922952390 is a wasteful number, since it uses less digits than its factorization.

85922952390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 85922952390 in words is "eighty-five billion, nine hundred twenty-two million, nine hundred fifty-two thousand, three hundred ninety".