85102821720 has 960 divisors, whose sum is σ = 355305852000. Its totient is φ = 18163740672.

The previous prime is 85102821719. The next prime is 85102821721. The reversal of 85102821720 is 2712820158.

It is an interprime number because it is at equal distance from previous prime (85102821719) and next prime (85102821721).

It is a super-2 number, since 2×85102821720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85102821721) 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 239 ways as a sum of consecutive naturals, for example, 268463002 + ... + 268463318.

Almost surely, 2^85102821720 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 85102821720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177652926000).

85102821720 is an abundant number, since it is smaller than the sum of its proper divisors (270203030280).

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

85102821720 is a wasteful number, since it uses less digits than its factorization.

85102821720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 85102821720 in words is "eighty-five billion, one hundred two million, eight hundred twenty-one thousand, seven hundred twenty".