9888465600 has 504 divisors, whose sum is σ = 38297309232. Its totient is φ = 2405376000.

The previous prime is 9888465571. The next prime is 9888465611. The reversal of 9888465600 is 65648889.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18906939 + ... + 18907461.

Almost surely, 2^9888465600 is an apocalyptic number.

9888465600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9888465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19148654616).

9888465600 is an abundant number, since it is smaller than the sum of its proper divisors (28408843632).

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

9888465600 is a wasteful number, since it uses less digits than its factorization.

9888465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 9888465600 is about 99440.7642770308. The cubic root of 9888465600 is about 2146.3949392223.

The spelling of 9888465600 in words is "nine billion, eight hundred eighty-eight million, four hundred sixty-five thousand, six hundred".