243749987520 has 448 divisors, whose sum is σ = 893695057920. Its totient is φ = 55751933952.

The previous prime is 243749987519. The next prime is 243749987561. The reversal of 243749987520 is 25789947342.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16753369 + ... + 16767911.

It is an arithmetic number, because the mean of its divisors is an integer number (1994855040).

Almost surely, 2^243749987520 is an apocalyptic number.

243749987520 is a gapful number since it is divisible by the number (20) 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 243749987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446847528960).

243749987520 is an abundant number, since it is smaller than the sum of its proper divisors (649945070400).

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

243749987520 is a wasteful number, since it uses less digits than its factorization.

243749987520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14672 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 243749987520 in words is "two hundred forty-three billion, seven hundred forty-nine million, nine hundred eighty-seven thousand, five hundred twenty".