906010019200 has 768 divisors, whose sum is σ = 2763385632000. Its totient is φ = 288962150400.

The previous prime is 906010019197. The next prime is 906010019219. The reversal of 906010019200 is 2910010609.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 889116291 + ... + 889117309.

It is an arithmetic number, because the mean of its divisors is an integer number (3598158375).

Almost surely, 2^906010019200 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 906010019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381692816000).

906010019200 is an abundant number, since it is smaller than the sum of its proper divisors (1857375612800).

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

906010019200 is a wasteful number, since it uses less digits than its factorization.

906010019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

Adding to 906010019200 its reverse (2910010609), we get a palindrome (908920029809).

The spelling of 906010019200 in words is "nine hundred six billion, ten million, nineteen thousand, two hundred".