85687699200 has 216 divisors, whose sum is σ = 283325282688. Its totient is φ = 22806589440.

The previous prime is 85687699183. The next prime is 85687699219. The reversal of 85687699200 is 299678658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 10805637 + ... + 10813563.

Almost surely, 2^85687699200 is an apocalyptic number.

85687699200 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 85687699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141662641344).

85687699200 is an abundant number, since it is smaller than the sum of its proper divisors (197637583488).

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

85687699200 is a wasteful number, since it uses less digits than its factorization.

85687699200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 60.

The spelling of 85687699200 in words is "eighty-five billion, six hundred eighty-seven million, six hundred ninety-nine thousand, two hundred".