272540209066560 has 448 divisors, whose sum is σ = 982020444733440. Its totient is φ = 71123634616320.

The previous prime is 272540209066493. The next prime is 272540209066591. The reversal of 272540209066560 is 65660902045272.

272540209066560 is a `hidden beast` number, since 2 + 7 + 2 + 54 + 0 + 20 + 9 + 0 + 6 + 6 + 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 = 272540209066497 and 272540209066506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4648368445 + ... + 4648427075.

It is an arithmetic number, because the mean of its divisors is an integer number (2192009921280).

Almost surely, 2^{272540209066560} is an apocalyptic number.

272540209066560 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 272540209066560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491010222366720).

272540209066560 is an abundant number, since it is smaller than the sum of its proper divisors (709480235666880).

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

272540209066560 is a wasteful number, since it uses less digits than its factorization.

272540209066560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70151 (or 70135 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 272540209066560 in words is "two hundred seventy-two trillion, five hundred forty billion, two hundred nine million, sixty-six thousand, five hundred sixty".