85232347200 has 2352 divisors, whose sum is σ = 427973191296. Its totient is φ = 16124313600.

The previous prime is 85232347163. The next prime is 85232347229. The reversal of 85232347200 is 274323258.

85232347200 is a `hidden beast` number, since 85 + 2 + 32 + 347 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 1167566364 + ... + 1167566436.

Almost surely, 2^85232347200 is an apocalyptic number.

85232347200 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 85232347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213986595648).

85232347200 is an abundant number, since it is smaller than the sum of its proper divisors (342740844096).

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

85232347200 is a wasteful number, since it uses less digits than its factorization.

85232347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 85232347200 in words is "eighty-five billion, two hundred thirty-two million, three hundred forty-seven thousand, two hundred".