54449952480 has 1296 divisors, whose sum is σ = 246985934832. Its totient is φ = 10799308800.

The previous prime is 54449952437. The next prime is 54449952481. The reversal of 54449952480 is 8425994445.

54449952480 is a `hidden beast` number, since 54 + 4 + 499 + 5 + 24 + 80 = 666.

54449952480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54449952481) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 745889724 + ... + 745889796.

It is an arithmetic number, because the mean of its divisors is an integer number (190575567).

Almost surely, 2^54449952480 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 54449952480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492967416).

54449952480 is an abundant number, since it is smaller than the sum of its proper divisors (192535982352).

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

54449952480 is a wasteful number, since it uses less digits than its factorization.

54449952480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 54449952480 in words is "fifty-four billion, four hundred forty-nine million, nine hundred fifty-two thousand, four hundred eighty".