85922129280 has 512 divisors, whose sum is σ = 302032281600. Its totient is φ = 20648263680.

The previous prime is 85922129269. The next prime is 85922129281. The reversal of 85922129280 is 8292122958.

It is a super-2 number, since 2×85922129280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85922129281) 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 63 ways as a sum of consecutive naturals, for example, 319412986 + ... + 319413254.

It is an arithmetic number, because the mean of its divisors is an integer number (589906800).

Almost surely, 2^85922129280 is an apocalyptic number.

85922129280 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 85922129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151016140800).

85922129280 is an abundant number, since it is smaller than the sum of its proper divisors (216110152320).

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

85922129280 is a wasteful number, since it uses less digits than its factorization.

85922129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 85922129280 in words is "eighty-five billion, nine hundred twenty-two million, one hundred twenty-nine thousand, two hundred eighty".