54948741120 has 1350 divisors, whose sum is σ = 248141410902. Its totient is φ = 11593580544.

The previous prime is 54948741059. The next prime is 54948741137. The reversal of 54948741120 is 2114784945.

54948741120 is a `hidden beast` number, since 5 + 4 + 9 + 487 + 41 + 120 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 260112384 + 54688628736 = 16128^2 + 233856^2 .

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 89 ways as a sum of consecutive naturals, for example, 4226826234 + ... + 4226826246.

Almost surely, 2^54948741120 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 54948741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124070705451).

54948741120 is an abundant number, since it is smaller than the sum of its proper divisors (193192669782).

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

54948741120 is an equidigital number, since it uses as much as digits as its factorization.

54948741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

Multiplying 54948741120 by its sum of digits (45), we get a square (2472693350400 = 1572480²).

54948741120 divided by its sum of digits (45) gives a square (1221083136 = 34944²).

The spelling of 54948741120 in words is "fifty-four billion, nine hundred forty-eight million, seven hundred forty-one thousand, one hundred twenty".