85969636480 has 512 divisors, whose sum is σ = 276566814720. Its totient is φ = 24772608000.

The previous prime is 85969636439. The next prime is 85969636507. The reversal of 85969636480 is 8463696958.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30691080 + ... + 30693880.

It is an arithmetic number, because the mean of its divisors is an integer number (540169560).

Almost surely, 2^85969636480 is an apocalyptic number.

85969636480 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 85969636480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138283407360).

85969636480 is an abundant number, since it is smaller than the sum of its proper divisors (190597178240).

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

85969636480 is a wasteful number, since it uses less digits than its factorization.

85969636480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2888 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 85969636480 in words is "eighty-five billion, nine hundred sixty-nine million, six hundred thirty-six thousand, four hundred eighty".