9997516800 has 432 divisors, whose sum is σ = 37056534480. Its totient is φ = 2642411520.

The previous prime is 9997516721. The next prime is 9997516801. The reversal of 9997516800 is 86157999.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9997516801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88473544 + ... + 88473656.

It is an arithmetic number, because the mean of its divisors is an integer number (85779015).

Almost surely, 2^9997516800 is an apocalyptic number.

9997516800 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 9997516800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528267240).

9997516800 is an abundant number, since it is smaller than the sum of its proper divisors (27059017680).

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

9997516800 is an equidigital number, since it uses as much as digits as its factorization.

9997516800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9997516800 is about 99987.5832291190. The cubic root of 9997516800 is about 2154.2563455282.

The spelling of 9997516800 in words is "nine billion, nine hundred ninety-seven million, five hundred sixteen thousand, eight hundred".