54120648960 has 1296 divisors, whose sum is σ = 233588287296. Its totient is φ = 11955879936.

The previous prime is 54120648941. The next prime is 54120648961. The reversal of 54120648960 is 6984602145.

54120648960 is a `hidden beast` number, since 541 + 2 + 0 + 6 + 48 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54120648961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 807770847 + ... + 807770913.

It is an arithmetic number, because the mean of its divisors is an integer number (180237876).

Almost surely, 2^54120648960 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 54120648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116794143648).

54120648960 is an abundant number, since it is smaller than the sum of its proper divisors (179467638336).

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

54120648960 is an equidigital number, since it uses as much as digits as its factorization.

54120648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 54120648960 in words is "fifty-four billion, one hundred twenty million, six hundred forty-eight thousand, nine hundred sixty".