85699853400 has 960 divisors, whose sum is σ = 340099660800. Its totient is φ = 17781120000.

The previous prime is 85699853387. The next prime is 85699853401. The reversal of 85699853400 is 435899658.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85699853401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 848513350 + ... + 848513450.

It is an arithmetic number, because the mean of its divisors is an integer number (354270480).

Almost surely, 2^85699853400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85699853400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170049830400).

85699853400 is an abundant number, since it is smaller than the sum of its proper divisors (254399807400).

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

85699853400 is a wasteful number, since it uses less digits than its factorization.

85699853400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 57.

The spelling of 85699853400 in words is "eighty-five billion, six hundred ninety-nine million, eight hundred fifty-three thousand, four hundred".