272606541346300 has 144 divisors (see below), whose sum is σ = 677172106211328. Its totient is φ = 93312042796800.

The previous prime is 272606541346289. The next prime is 272606541346313. The reversal of 272606541346300 is 3643145606272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244265765 + ... + 1244484835.

It is an arithmetic number, because the mean of its divisors is an integer number (4702584070912).

Almost surely, 2^{272606541346300} is an apocalyptic number.

272606541346300 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 272606541346300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338586053105664).

272606541346300 is an abundant number, since it is smaller than the sum of its proper divisors (404565564865028).

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

272606541346300 is a wasteful number, since it uses less digits than its factorization.

272606541346300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221996 (or 221989 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 49.

The spelling of 272606541346300 in words is "two hundred seventy-two trillion, six hundred six billion, five hundred forty-one million, three hundred forty-six thousand, three hundred".