85851216000 has 768 divisors, whose sum is σ = 340915236480. Its totient is φ = 20530176000.

The previous prime is 85851215971. The next prime is 85851216019. The reversal of 85851216000 is 61215858.

85851216000 is a `hidden beast` number, since 8 + 585 + 12 + 1 + 60 + 0 + 0 = 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 95 ways as a sum of consecutive naturals, for example, 131471674 + ... + 131472326.

Almost surely, 2^85851216000 is an apocalyptic number.

85851216000 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 85851216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170457618240).

85851216000 is an abundant number, since it is smaller than the sum of its proper divisors (255064020480).

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

85851216000 is a wasteful number, since it uses less digits than its factorization.

85851216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 85851216000 in words is "eighty-five billion, eight hundred fifty-one million, two hundred sixteen thousand".