9925888000 has 384 divisors, whose sum is σ = 29436825600. Its totient is φ = 3268608000.

The previous prime is 9925887949. The next prime is 9925888009. The reversal of 9925888000 is 8885299.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9925888009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51967905 + ... + 51968095.

It is an arithmetic number, because the mean of its divisors is an integer number (76658400).

Almost surely, 2^9925888000 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 9925888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14718412800).

9925888000 is an abundant number, since it is smaller than the sum of its proper divisors (19510937600).

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

9925888000 is a wasteful number, since it uses less digits than its factorization.

9925888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The square root of 9925888000 is about 99628.7508704189. The cubic root of 9925888000 is about 2149.0991719209.

The spelling of 9925888000 in words is "nine billion, nine hundred twenty-five million, eight hundred eighty-eight thousand".