85570905200 has 120 divisors (see below), whose sum is σ = 224942961360. Its totient is φ = 31023820800.

The previous prime is 85570905113. The next prime is 85570905221. The reversal of 85570905200 is 250907558.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453946 + ... + 1511654.

It is an arithmetic number, because the mean of its divisors is an integer number (1874524678).

Almost surely, 2^85570905200 is an apocalyptic number.

85570905200 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 85570905200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112471480680).

85570905200 is an abundant number, since it is smaller than the sum of its proper divisors (139372056160).

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

85570905200 is a wasteful number, since it uses less digits than its factorization.

85570905200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58075 (or 58064 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 41.

The spelling of 85570905200 in words is "eighty-five billion, five hundred seventy million, nine hundred five thousand, two hundred".