85429980768 has 192 divisors, whose sum is σ = 249728016384. Its totient is φ = 25353216000.

The previous prime is 85429980749. The next prime is 85429980821. The reversal of 85429980768 is 86708992458.

It is a super-2 number, since 2×85429980768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 85429980699 and 85429980708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15521505 + ... + 15527007.

It is an arithmetic number, because the mean of its divisors is an integer number (1300666752).

Almost surely, 2^85429980768 is an apocalyptic number.

85429980768 is a gapful number since it is divisible by the number (88) 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 85429980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124864008192).

85429980768 is an abundant number, since it is smaller than the sum of its proper divisors (164298035616).

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

85429980768 is a wasteful number, since it uses less digits than its factorization.

85429980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5829 (or 5821 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 66.

The spelling of 85429980768 in words is "eighty-five billion, four hundred twenty-nine million, nine hundred eighty thousand, seven hundred sixty-eight".