85392534528 has 704 divisors, whose sum is σ = 306202378240. Its totient is φ = 22992076800.

The previous prime is 85392534517. The next prime is 85392534529. The reversal of 85392534528 is 82543529358.

It is a happy number.

85392534528 is a `hidden beast` number, since 8 + 53 + 9 + 2 + 534 + 52 + 8 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (85392534529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257983323 + ... + 257983653.

It is an arithmetic number, because the mean of its divisors is an integer number (434946560).

Almost surely, 2^85392534528 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 85392534528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153101189120).

85392534528 is an abundant number, since it is smaller than the sum of its proper divisors (220809843712).

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

85392534528 is a wasteful number, since it uses less digits than its factorization.

85392534528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 417 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 85392534528 in words is "eighty-five billion, three hundred ninety-two million, five hundred thirty-four thousand, five hundred twenty-eight".