272452974796800 has 2688 divisors, whose sum is σ = 1176257920865280. Its totient is φ = 61298190581760.

The previous prime is 272452974796787. The next prime is 272452974796903. The reversal of 272452974796800 is 8697479254272.

It is a happy number.

272452974796800 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 5 + 2 + 97 + 479 + 68 + 0 + 0 = 666.

272452974796800 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 (2688).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210063973752 + ... + 210063975048.

Almost surely, 2^{272452974796800} is an apocalyptic number.

272452974796800 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 272452974796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588128960432640).

272452974796800 is an abundant number, since it is smaller than the sum of its proper divisors (903804946068480).

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

272452974796800 is an frugal number, since it uses more digits than its factorization.

272452974796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1428 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 853493760, while the sum is 72.

The spelling of 272452974796800 in words is "two hundred seventy-two trillion, four hundred fifty-two billion, nine hundred seventy-four million, seven hundred ninety-six thousand, eight hundred".