272559742560 has 1152 divisors, whose sum is σ = 1150204769280. Its totient is φ = 59036221440.

The previous prime is 272559742489. The next prime is 272559742597. The reversal of 272559742560 is 65247955272.

272559742560 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 5 + 9 + 74 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 272559742497 and 272559742506.

It is a congruent number.

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, 2412033064 + ... + 2412033176.

It is an arithmetic number, because the mean of its divisors is an integer number (998441640).

Almost surely, 2^272559742560 is an apocalyptic number.

272559742560 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 272559742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575102384640).

272559742560 is an abundant number, since it is smaller than the sum of its proper divisors (877645026720).

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

272559742560 is a wasteful number, since it uses less digits than its factorization.

272559742560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 272559742560 in words is "two hundred seventy-two billion, five hundred fifty-nine million, seven hundred forty-two thousand, five hundred sixty".