85750382592 has 816 divisors, whose sum is σ = 315577025280. Its totient is φ = 22889889792.

The previous prime is 85750382587. The next prime is 85750382609. The reversal of 85750382592 is 29528305758.

85750382592 is a `hidden beast` number, since 8 + 5 + 7 + 503 + 82 + 59 + 2 = 666.

It is a super-2 number, since 2×85750382592² (a number of 23 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1994194923 + ... + 1994194965.

Almost surely, 2^85750382592 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 85750382592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157788512640).

85750382592 is an abundant number, since it is smaller than the sum of its proper divisors (229826642688).

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

85750382592 is an equidigital number, since it uses as much as digits as its factorization.

85750382592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 85750382592 in words is "eighty-five billion, seven hundred fifty million, three hundred eighty-two thousand, five hundred ninety-two".