242785064522880 has 1536 divisors, whose sum is σ = 966889090252800. Its totient is φ = 55562823106560.

The previous prime is 242785064522843. The next prime is 242785064522969. The reversal of 242785064522880 is 88225460587242.

242785064522880 is a `hidden beast` number, since 2 + 4 + 2 + 7 + 8 + 506 + 45 + 2 + 2 + 8 + 80 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 36459684991 + ... + 36459691649.

It is an arithmetic number, because the mean of its divisors is an integer number (629485084800).

Almost surely, 2^{242785064522880} is an apocalyptic number.

242785064522880 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 242785064522880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483444545126400).

242785064522880 is an abundant number, since it is smaller than the sum of its proper divisors (724104025729920).

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

242785064522880 is a wasteful number, since it uses less digits than its factorization.

242785064522880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7042 (or 7027 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 63.

The spelling of 242785064522880 in words is "two hundred forty-two trillion, seven hundred eighty-five billion, sixty-four million, five hundred twenty-two thousand, eight hundred eighty".