85997002752 has 560 divisors, whose sum is σ = 274752739800. Its totient is φ = 26754416640.

The previous prime is 85997002717. The next prime is 85997002759. The reversal of 85997002752 is 25720079958.

It can be written as a sum of positive squares in 4 ways, for example, as 61631041536 + 24365961216 = 248256^2 + 156096^2 .

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 (85997002759) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 788963274 + ... + 788963382.

Almost surely, 2^85997002752 is an apocalyptic number.

85997002752 is a gapful number since it is divisible by the number (82) 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 85997002752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137376369900).

85997002752 is an abundant number, since it is smaller than the sum of its proper divisors (188755737048).

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

85997002752 is a wasteful number, since it uses less digits than its factorization.

85997002752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 85997002752 in words is "eighty-five billion, nine hundred ninety-seven million, two thousand, seven hundred fifty-two".