54272362996800 has 2016 divisors, whose sum is σ = 221215713788160. Its totient is φ = 13005154713600.

The previous prime is 54272362996793. The next prime is 54272362996811. The reversal of 54272362996800 is 869926327245.

It is a happy number.

54272362996800 is a `hidden beast` number, since 5 + 42 + 72 + 362 + 9 + 96 + 80 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 31756794346 + ... + 31756796054.

It is an arithmetic number, because the mean of its divisors is an integer number (109730016760).

Almost surely, 2^{54272362996800} is an apocalyptic number.

54272362996800 is a gapful number since it is divisible by the number (50) 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 54272362996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110607856894080).

54272362996800 is an abundant number, since it is smaller than the sum of its proper divisors (166943350791360).

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

54272362996800 is a wasteful number, since it uses less digits than its factorization.

54272362996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1923 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 54272362996800 in words is "fifty-four trillion, two hundred seventy-two billion, three hundred sixty-two million, nine hundred ninety-six thousand, eight hundred".