9990587023200 has 2304 divisors, whose sum is σ = 45713474150400. Its totient is φ = 2053029888000.

The previous prime is 9990587023163. The next prime is 9990587023201. The reversal of 9990587023200 is 23207850999.

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 (9990587023201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7528700937 + ... + 7528702263.

It is an arithmetic number, because the mean of its divisors is an integer number (19840917600).

Almost surely, 2^{9990587023200} is an apocalyptic number.

9990587023200 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 9990587023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22856737075200).

9990587023200 is an abundant number, since it is smaller than the sum of its proper divisors (35722887127200).

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

9990587023200 is a wasteful number, since it uses less digits than its factorization.

9990587023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 9990587023200 in words is "nine trillion, nine hundred ninety billion, five hundred eighty-seven million, twenty-three thousand, two hundred".