899951689728 has 1224 divisors, whose sum is σ = 3467169783168. Its totient is φ = 227030335488.

The previous prime is 899951689727. The next prime is 899951689783. The reversal of 899951689728 is 827986159998.

899951689728 is a `hidden beast` number, since 8 + 9 + 9 + 9 + 516 + 8 + 97 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (1410877440) is a multiple of the sum of its prime divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899951689727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39128334325 + ... + 39128334347.

Almost surely, 2^899951689728 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 899951689728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733584891584).

899951689728 is an abundant number, since it is smaller than the sum of its proper divisors (2567218093440).

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

899951689728 is an frugal number, since it uses more digits than its factorization.

899951689728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 48 counting only the distinct ones).

The product of its digits is 1410877440, while the sum is 81.

The spelling of 899951689728 in words is "eight hundred ninety-nine billion, nine hundred fifty-one million, six hundred eighty-nine thousand, seven hundred twenty-eight".