9889578352900 has 81 divisors (see below), whose sum is σ = 21929981474037. Its totient is φ = 3871086079200.

The previous prime is 9889578352867. The next prime is 9889578352909. The reversal of 9889578352900 is 92538759889.

The square root of 9889578352900 is 3144770.

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

It can be written as a sum of positive squares in only one way, i.e., 3560248207044 + 6329330145856 = 1886862^2 + 2515816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9889578352909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1478038555 + ... + 1478045245.

Almost surely, 2^{9889578352900} is an apocalyptic number.

9889578352900 is the 3144770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9889578352900

9889578352900 is an abundant number, since it is smaller than the sum of its proper divisors (12040403121137).

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

9889578352900 is an frugal number, since it uses more digits than its factorization.

9889578352900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13490 (or 6745 counting only the distinct ones).

The product of its (nonzero) digits is 391910400, while the sum is 73.

The spelling of 9889578352900 in words is "nine trillion, eight hundred eighty-nine billion, five hundred seventy-eight million, three hundred fifty-two thousand, nine hundred".