9987976924200 has 144 divisors (see below), whose sum is σ = 36592315531200. Its totient is φ = 2421327734400.

The previous prime is 9987976924109. The next prime is 9987976924253. The reversal of 9987976924200 is 24296797899.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 252201840 + ... + 252241439.

It is an arithmetic number, because the mean of its divisors is an integer number (254113302300).

Almost surely, 2^{9987976924200} is an apocalyptic number.

9987976924200 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9987976924200 is an abundant number, since it is smaller than the sum of its proper divisors (26604338607000).

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

9987976924200 is a wasteful number, since it uses less digits than its factorization.

9987976924200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504443312 (or 504443300 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 9987976924200 in words is "nine trillion, nine hundred eighty-seven billion, nine hundred seventy-six million, nine hundred twenty-four thousand, two hundred".