85835826900 has 288 divisors, whose sum is σ = 300491184000. Its totient is φ = 20936724480.

The previous prime is 85835826893. The next prime is 85835826917. The reversal of 85835826900 is 962853858.

85835826900 is a `hidden beast` number, since 8 + 58 + 3 + 582 + 6 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×85835826900² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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, 1458852 + ... + 1516548.

Almost surely, 2^85835826900 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 85835826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150245592000).

85835826900 is an abundant number, since it is smaller than the sum of its proper divisors (214655357100).

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

85835826900 is a wasteful number, since it uses less digits than its factorization.

85835826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57768 (or 57755 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 85835826900 in words is "eighty-five billion, eight hundred thirty-five million, eight hundred twenty-six thousand, nine hundred".