9916257600 has 672 divisors, whose sum is σ = 37961498880. Its totient is φ = 2515968000.

The previous prime is 9916257599. The next prime is 9916257619. The reversal of 9916257600 is 67526199.

It is a happy number.

9916257600 is a `hidden beast` number, since 9 + 9 + 16 + 25 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 139665565 + ... + 139665635.

Almost surely, 2^9916257600 is an apocalyptic number.

9916257600 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 9916257600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980749440).

9916257600 is an abundant number, since it is smaller than the sum of its proper divisors (28045241280).

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

9916257600 is a wasteful number, since it uses less digits than its factorization.

9916257600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 9916257600 is about 99580.4077115574. The cubic root of 9916257600 is about 2148.4039064429.

The spelling of 9916257600 in words is "nine billion, nine hundred sixteen million, two hundred fifty-seven thousand, six hundred".