9516552806400 has 672 divisors, whose sum is σ = 33017693208576. Its totient is φ = 2415329280000.

The previous prime is 9516552806389. The next prime is 9516552806581. The reversal of 9516552806400 is 46082556159.

It is a happy number.

9516552806400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1161826305 + ... + 1161834495.

Almost surely, 2^{9516552806400} 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 9516552806400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508846604288).

9516552806400 is an abundant number, since it is smaller than the sum of its proper divisors (23501140402176).

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

9516552806400 is a wasteful number, since it uses less digits than its factorization.

9516552806400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8293 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The spelling of 9516552806400 in words is "nine trillion, five hundred sixteen billion, five hundred fifty-two million, eight hundred six thousand, four hundred".