85872883200 has 240 divisors, whose sum is σ = 305498686416. Its totient is φ = 21137817600.

The previous prime is 85872883111. The next prime is 85872883219. The reversal of 85872883200 is 238827858.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413190 + ... + 585210.

Almost surely, 2^85872883200 is an apocalyptic number.

85872883200 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 85872883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152749343208).

85872883200 is an abundant number, since it is smaller than the sum of its proper divisors (219625803216).

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

85872883200 is a wasteful number, since it uses less digits than its factorization.

85872883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172065 (or 172044 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 85872883200 in words is "eighty-five billion, eight hundred seventy-two million, eight hundred eighty-three thousand, two hundred".