9987799200 has 288 divisors, whose sum is σ = 35229370176. Its totient is φ = 2448015360.

The previous prime is 9987799187. The next prime is 9987799229. The reversal of 9987799200 is 29977899.

It is a happy number.

It is a super-2 number, since 2×9987799200² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1751554 + ... + 1757246.

It is an arithmetic number, because the mean of its divisors is an integer number (122324202).

Almost surely, 2^9987799200 is an apocalyptic number.

9987799200 is the 81600-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17614685088).

9987799200 is an abundant number, since it is smaller than the sum of its proper divisors (25241570976).

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

9987799200 is a wasteful number, since it uses less digits than its factorization.

9987799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5776 (or 5763 counting only the distinct ones).

The product of its (nonzero) digits is 5143824, while the sum is 60.

The square root of 9987799200 is about 99938.9773812000. The cubic root of 9987799200 is about 2153.5581392223.

The spelling of 9987799200 in words is "nine billion, nine hundred eighty-seven million, seven hundred ninety-nine thousand, two hundred".