85239369900 has 216 divisors, whose sum is σ = 278172039600. Its totient is φ = 22640394240.

The previous prime is 85239369851. The next prime is 85239369953. The reversal of 85239369900 is 996393258.

It is a super-3 number, since 3×85239369900³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6238276 + ... + 6251924.

Almost surely, 2^85239369900 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 85239369900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139086019800).

85239369900 is an abundant number, since it is smaller than the sum of its proper divisors (192932669700).

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

85239369900 is a wasteful number, since it uses less digits than its factorization.

85239369900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13935 (or 13916 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 85239369900 in words is "eighty-five billion, two hundred thirty-nine million, three hundred sixty-nine thousand, nine hundred".