85638201600 has 648 divisors, whose sum is σ = 331038374688. Its totient is φ = 19439616000.

The previous prime is 85638201589. The next prime is 85638201601. The reversal of 85638201600 is 610283658.

It is a happy number.

It is a super-4 number, since 4×85638201600⁴ (a number of 45 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (85638201601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 213561400 + ... + 213561800.

Almost surely, 2^85638201600 is an apocalyptic number.

85638201600 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 85638201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165519187344).

85638201600 is an abundant number, since it is smaller than the sum of its proper divisors (245400173088).

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

85638201600 is a wasteful number, since it uses less digits than its factorization.

85638201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 85638201600 in words is "eighty-five billion, six hundred thirty-eight million, two hundred one thousand, six hundred".