272533248000 has 1152 divisors, whose sum is σ = 1100334231360. Its totient is φ = 66886041600.

The previous prime is 272533247981. The next prime is 272533248089. The reversal of 272533248000 is 842335272.

272533248000 is a `hidden beast` number, since 2 + 7 + 253 + 324 + 80 + 0 + 0 = 666.

272533248000 is digitally balanced in base 2, 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 (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 808703832 + ... + 808704168.

Almost surely, 2^272533248000 is an apocalyptic number.

272533248000 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 272533248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550167115680).

272533248000 is an abundant number, since it is smaller than the sum of its proper divisors (827800983360).

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

272533248000 is an equidigital number, since it uses as much as digits as its factorization.

272533248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 272533248000 in words is "two hundred seventy-two billion, five hundred thirty-three million, two hundred forty-eight thousand".