850584879900 has 2304 divisors, whose sum is σ = 3689763840000. Its totient is φ = 168991764480.

The previous prime is 850584879899. The next prime is 850584879913. The reversal of 850584879900 is 9978485058.

It is a happy number.

It is a super-3 number, since 3×850584879900³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 29330513086 + ... + 29330513114.

It is an arithmetic number, because the mean of its divisors is an integer number (1601460000).

Almost surely, 2^850584879900 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 850584879900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844881920000).

850584879900 is an abundant number, since it is smaller than the sum of its proper divisors (2839178960100).

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

850584879900 is a wasteful number, since it uses less digits than its factorization.

850584879900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 850584879900 in words is "eight hundred fifty billion, five hundred eighty-four million, eight hundred seventy-nine thousand, nine hundred".