85952742720 has 896 divisors, whose sum is σ = 322477424640. Its totient is φ = 19229736960.

The previous prime is 85952742683. The next prime is 85952742721. The reversal of 85952742720 is 2724725958.

It is a super-3 number, since 3×85952742720³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85952742721) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 527317359 + ... + 527317521.

It is an arithmetic number, because the mean of its divisors is an integer number (359907840).

Almost surely, 2^85952742720 is an apocalyptic number.

85952742720 is a gapful number since it is divisible by the number (80) 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 85952742720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161238712320).

85952742720 is an abundant number, since it is smaller than the sum of its proper divisors (236524681920).

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

85952742720 is a wasteful number, since it uses less digits than its factorization.

85952742720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 85952742720 in words is "eighty-five billion, nine hundred fifty-two million, seven hundred forty-two thousand, seven hundred twenty".