54360755043840 has 2640 divisors, whose sum is σ = 234274430008080. Its totient is φ = 12054536847360.

The previous prime is 54360755043769. The next prime is 54360755043871. The reversal of 54360755043840 is 4834055706345.

54360755043840 is a `hidden beast` number, since 5 + 4 + 3 + 6 + 0 + 7 + 550 + 4 + 3 + 84 + 0 = 666.

54360755043840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 263 ways as a sum of consecutive naturals, for example, 303691368871 + ... + 303691369049.

It is an arithmetic number, because the mean of its divisors is an integer number (88740314397).

Almost surely, 2^{54360755043840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54360755043840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117137215004040).

54360755043840 is an abundant number, since it is smaller than the sum of its proper divisors (179913674964240).

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

54360755043840 is an frugal number, since it uses more digits than its factorization.

54360755043840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 54360755043840 in words is "fifty-four trillion, three hundred sixty billion, seven hundred fifty-five million, forty-three thousand, eight hundred forty".