9125516400 has 960 divisors, whose sum is σ = 40173428736. Its totient is φ = 1709568000.

The previous prime is 9125516359. The next prime is 9125516419. The reversal of 9125516400 is 46155219.

9125516400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85285147 + ... + 85285253.

Almost surely, 2^9125516400 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 9125516400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20086714368).

9125516400 is an abundant number, since it is smaller than the sum of its proper divisors (31047912336).

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

9125516400 is a wasteful number, since it uses less digits than its factorization.

9125516400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 9125516400 is about 95527.5687956100. The cubic root of 9125516400 is about 2089.7090168217.

It can be divided in two parts, 9125 and 516400, that added together give a palindrome (525525).

The spelling of 9125516400 in words is "nine billion, one hundred twenty-five million, five hundred sixteen thousand, four hundred".