85555774900 has 72 divisors (see below), whose sum is σ = 193796971200. Its totient is φ = 32722736640.

The previous prime is 85555774879. The next prime is 85555774901. The reversal of 85555774900 is 947755558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85555774901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9308107 + ... + 9317293.

It is an arithmetic number, because the mean of its divisors is an integer number (2691624600).

Almost surely, 2^85555774900 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 85555774900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96898485600).

85555774900 is an abundant number, since it is smaller than the sum of its proper divisors (108241196300).

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

85555774900 is a wasteful number, since it uses less digits than its factorization.

85555774900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13273 (or 13266 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 55.

The spelling of 85555774900 in words is "eighty-five billion, five hundred fifty-five million, seven hundred seventy-four thousand, nine hundred".