85725529344 has 864 divisors, whose sum is σ = 328914593280. Its totient is φ = 20846149632.

The previous prime is 85725529333. The next prime is 85725529387. The reversal of 85725529344 is 44392552758.

85725529344 is a `hidden beast` number, since 8 + 5 + 72 + 5 + 529 + 3 + 44 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139845582 + ... + 139846194.

Almost surely, 2^85725529344 is an apocalyptic number.

85725529344 is a gapful number since it is divisible by the number (84) 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 85725529344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164457296640).

85725529344 is an abundant number, since it is smaller than the sum of its proper divisors (243189063936).

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

85725529344 is a wasteful number, since it uses less digits than its factorization.

85725529344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 690 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 54.

The spelling of 85725529344 in words is "eighty-five billion, seven hundred twenty-five million, five hundred twenty-nine thousand, three hundred forty-four".