272059245504 has 224 divisors, whose sum is σ = 835223201280. Its totient is φ = 86676480000.

The previous prime is 272059245461. The next prime is 272059245511. The reversal of 272059245504 is 405542950272.

272059245504 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 5 + 92 + 4 + 550 + 4 = 666.

It is a zygodrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 272059245504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89462224 + ... + 89465264.

Almost surely, 2^272059245504 is an apocalyptic number.

272059245504 is a gapful number since it is divisible by the number (24) 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 272059245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417611600640).

272059245504 is an abundant number, since it is smaller than the sum of its proper divisors (563163955776).

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

272059245504 is a wasteful number, since it uses less digits than its factorization.

272059245504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5336 (or 5320 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 272059245504 in words is "two hundred seventy-two billion, fifty-nine million, two hundred forty-five thousand, five hundred four".