54756414720 has 1008 divisors, whose sum is σ = 229700403072. Its totient is φ = 12242534400.

The previous prime is 54756414719. The next prime is 54756414799. The reversal of 54756414720 is 2741465745.

54756414720 is a `hidden beast` number, since 5 + 4 + 7 + 564 + 14 + 72 + 0 = 666.

54756414720 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 (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 542142670 + ... + 542142770.

It is an arithmetic number, because the mean of its divisors is an integer number (227877384).

Almost surely, 2^54756414720 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 54756414720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114850201536).

54756414720 is an abundant number, since it is smaller than the sum of its proper divisors (174943988352).

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

54756414720 is an equidigital number, since it uses as much as digits as its factorization.

54756414720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 54756414720 in words is "fifty-four billion, seven hundred fifty-six million, four hundred fourteen thousand, seven hundred twenty".