9755512900 has 243 divisors, whose sum is σ = 26478454359. Its totient is φ = 3110069760.

The previous prime is 9755512889. The next prime is 9755512903. The reversal of 9755512900 is 92155579.

It is a happy number.

The square root of 9755512900 is 98770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 228191236 + 9527321664 = 15106^2 + 97608^2 .

It is not an unprimeable number, because it can be changed into a prime (9755512903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 117536259 + ... + 117536341.

Almost surely, 2^9755512900 is an apocalyptic number.

9755512900 is the 98770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9755512900

9755512900 is an abundant number, since it is smaller than the sum of its proper divisors (16722941459).

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

9755512900 is a wasteful number, since it uses less digits than its factorization.

9755512900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 43.

The cubic root of 9755512900 is about 2136.7319101132.

The spelling of 9755512900 in words is "nine billion, seven hundred fifty-five million, five hundred twelve thousand, nine hundred".