8493997987200 has 192 divisors, whose sum is σ = 30520479510720. Its totient is φ = 2059151001600.

The previous prime is 8493997987147. The next prime is 8493997987207. The reversal of 8493997987200 is 27897993948.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×8493997987200³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8493997987207) 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 23 ways as a sum of consecutive naturals, for example, 40112194 + ... + 40323393.

It is an arithmetic number, because the mean of its divisors is an integer number (158960830785).

Almost surely, 2^{8493997987200} is an apocalyptic number.

8493997987200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8493997987200 is an abundant number, since it is smaller than the sum of its proper divisors (22026481523520).

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

8493997987200 is a wasteful number, since it uses less digits than its factorization.

8493997987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80435625 (or 80435608 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 75.

The spelling of 8493997987200 in words is "eight trillion, four hundred ninety-three billion, nine hundred ninety-seven million, nine hundred eighty-seven thousand, two hundred".