272210785056 has 648 divisors, whose sum is σ = 986068203120. Its totient is φ = 73643883264.

The previous prime is 272210785027. The next prime is 272210785073. The reversal of 272210785056 is 650587012272.

272210785056 is a `hidden beast` number, since 2 + 72 + 2 + 1 + 0 + 78 + 505 + 6 = 666.

272210785056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (648).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 137548675 + ... + 137550653.

It is an arithmetic number, because the mean of its divisors is an integer number (1521710190).

Almost surely, 2^272210785056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272210785056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493034101560).

272210785056 is an abundant number, since it is smaller than the sum of its proper divisors (713857418064).

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

272210785056 is a wasteful number, since it uses less digits than its factorization.

272210785056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2056 (or 2010 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 272210785056 in words is "two hundred seventy-two billion, two hundred ten million, seven hundred eighty-five thousand, fifty-six".