899329788900 has 405 divisors, whose sum is σ = 2999782454977. Its totient is φ = 233061580800.

The previous prime is 899329788893. The next prime is 899329788923. The reversal of 899329788900 is 9887923998.

The square root of 899329788900 is 948330.

It is a perfect power (a square), and thus also a powerful number.

899329788900 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 490456506276 + 408873282624 = 700326^2 + 639432^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3499337572 + ... + 3499337828.

Almost surely, 2^899329788900 is an apocalyptic number.

899329788900 is the 948330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 899329788900

899329788900 is an abundant number, since it is smaller than the sum of its proper divisors (2100452666077).

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

899329788900 is a wasteful number, since it uses less digits than its factorization.

899329788900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 72.

The spelling of 899329788900 in words is "eight hundred ninety-nine billion, three hundred twenty-nine million, seven hundred eighty-eight thousand, nine hundred".