85002372000 has 1728 divisors, whose sum is σ = 397863228672. Its totient is φ = 17356032000.

The previous prime is 85002371989. The next prime is 85002372017. The reversal of 85002372000 is 27320058.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2742011985 + ... + 2742012015.

It is an arithmetic number, because the mean of its divisors is an integer number (230244924).

Almost surely, 2^85002372000 is an apocalyptic number.

85002372000 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 85002372000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198931614336).

85002372000 is an abundant number, since it is smaller than the sum of its proper divisors (312860856672).

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

85002372000 is a wasteful number, since it uses less digits than its factorization.

85002372000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

Adding to 85002372000 its reverse (27320058), we get a palindrome (85029692058).

The spelling of 85002372000 in words is "eighty-five billion, two million, three hundred seventy-two thousand".