85791341592 has 384 divisors, whose sum is σ = 284675328000. Its totient is φ = 23830329600.

The previous prime is 85791341591. The next prime is 85791341621. The reversal of 85791341592 is 29514319758.

It is a happy number.

85791341592 is a `hidden beast` number, since 8 + 5 + 7 + 9 + 1 + 3 + 41 + 592 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85791341591) 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, 15391318 + ... + 15396890.

It is an arithmetic number, because the mean of its divisors is an integer number (741342000).

Almost surely, 2^85791341592 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 85791341592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142337664000).

85791341592 is an abundant number, since it is smaller than the sum of its proper divisors (198883986408).

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

85791341592 is a wasteful number, since it uses less digits than its factorization.

85791341592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5639 counting only the distinct ones).

The product of its digits is 2721600, while the sum is 54.

The spelling of 85791341592 in words is "eighty-five billion, seven hundred ninety-one million, three hundred forty-one thousand, five hundred ninety-two".