243025504000 has 288 divisors, whose sum is σ = 640820980800. Its totient is φ = 91581235200.

The previous prime is 243025503979. The next prime is 243025504091. The reversal of 243025504000 is 405520342.

It is a super-2 number, since 2×243025504000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119774986 + ... + 119777014.

It is an arithmetic number, because the mean of its divisors is an integer number (2225072850).

Almost surely, 2^243025504000 is an apocalyptic number.

243025504000 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 243025504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320410490400).

243025504000 is an abundant number, since it is smaller than the sum of its proper divisors (397795476800).

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

243025504000 is a wasteful number, since it uses less digits than its factorization.

243025504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 25.

The spelling of 243025504000 in words is "two hundred forty-three billion, twenty-five million, five hundred four thousand".