85149227700 has 576 divisors, whose sum is σ = 307480320000. Its totient is φ = 20088207360.

The previous prime is 85149227677. The next prime is 85149227707. The reversal of 85149227700 is 772294158.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85149227707) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 142152001 + ... + 142152599.

It is an arithmetic number, because the mean of its divisors is an integer number (533820000).

Almost surely, 2^85149227700 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 85149227700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160000).

85149227700 is an abundant number, since it is smaller than the sum of its proper divisors (222331092300).

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

85149227700 is a wasteful number, since it uses less digits than its factorization.

85149227700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 85149227700 in words is "eighty-five billion, one hundred forty-nine million, two hundred twenty-seven thousand, seven hundred".