85472808960 has 1248 divisors, whose sum is σ = 363051331200. Its totient is φ = 16955473920.

The previous prime is 85472808919. The next prime is 85472808983. The reversal of 85472808960 is 6980827458.

It is a self number, because there is not a number n which added to its sum of digits gives 85472808960.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 960368596 + ... + 960368684.

Almost surely, 2^85472808960 is an apocalyptic number.

85472808960 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 85472808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181525665600).

85472808960 is an abundant number, since it is smaller than the sum of its proper divisors (277578522240).

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

85472808960 is a wasteful number, since it uses less digits than its factorization.

85472808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 85472808960 in words is "eighty-five billion, four hundred seventy-two million, eight hundred eight thousand, nine hundred sixty".