54720147456 has 312 divisors, whose sum is σ = 176565851280. Its totient is φ = 16832987136.

The previous prime is 54720147403. The next prime is 54720147551. The reversal of 54720147456 is 65474102745.

54720147456 is a `hidden beast` number, since 54 + 7 + 2 + 0 + 147 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12937150 + ... + 12941378.

It is an arithmetic number, because the mean of its divisors is an integer number (565916190).

Almost surely, 2^54720147456 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 54720147456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88282925640).

54720147456 is an abundant number, since it is smaller than the sum of its proper divisors (121845703824).

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

54720147456 is an equidigital number, since it uses as much as digits as its factorization.

54720147456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4247 counting only the distinct ones).

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

The spelling of 54720147456 in words is "fifty-four billion, seven hundred twenty million, one hundred forty-seven thousand, four hundred fifty-six".