96407225600 has 324 divisors, whose sum is σ = 279343425564. Its totient is φ = 32844349440.

The previous prime is 96407225599. The next prime is 96407225611. The reversal of 96407225600 is 652270469.

It can be written as a sum of positive squares in 6 ways, for example, as 990486784 + 95416738816 = 31472^2 + 308896^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 54251912 + ... + 54253688.

Almost surely, 2^96407225600 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 96407225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139671712782).

96407225600 is an abundant number, since it is smaller than the sum of its proper divisors (182936199964).

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

96407225600 is a wasteful number, since it uses less digits than its factorization.

96407225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The spelling of 96407225600 in words is "ninety-six billion, four hundred seven million, two hundred twenty-five thousand, six hundred".