9447920025600 has 540 divisors, whose sum is σ = 36340836136584. Its totient is φ = 2159510814720.

The previous prime is 9447920025587. The next prime is 9447920025601. The reversal of 9447920025600 is 65200297449.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9447920025600.

It is not an unprimeable number, because it can be changed into a prime (9447920025601) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 60132744 + ... + 60289656.

Almost surely, 2^{9447920025600} 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 9447920025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18170418068292).

9447920025600 is an abundant number, since it is smaller than the sum of its proper divisors (26892916110984).

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

9447920025600 is a wasteful number, since it uses less digits than its factorization.

9447920025600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156968 (or 156930 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 9447920025600 in words is "nine trillion, four hundred forty-seven billion, nine hundred twenty million, twenty-five thousand, six hundred".