85739921280 has 512 divisors, whose sum is σ = 332434972800. Its totient is φ = 20755906560.

The previous prime is 85739921273. The next prime is 85739921287. The reversal of 85739921280 is 8212993758.

It is an interprime number because it is at equal distance from previous prime (85739921273) and next prime (85739921287).

It is a super-2 number, since 2×85739921280² (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 not an unprimeable number, because it can be changed into a prime (85739921287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13699912 + ... + 13706168.

Almost surely, 2^85739921280 is an apocalyptic number.

85739921280 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 85739921280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166217486400).

85739921280 is an abundant number, since it is smaller than the sum of its proper divisors (246695051520).

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

85739921280 is a wasteful number, since it uses less digits than its factorization.

85739921280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 85739921280 in words is "eighty-five billion, seven hundred thirty-nine million, nine hundred twenty-one thousand, two hundred eighty".