54480301920 has 720 divisors, whose sum is σ = 215545630608. Its totient is φ = 12851619840.

The previous prime is 54480301919. The next prime is 54480301927. The reversal of 54480301920 is 2910308445.

54480301920 is a `hidden beast` number, since 544 + 80 + 3 + 0 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54480301927) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 314914954 + ... + 314915126.

Almost surely, 2^54480301920 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 54480301920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107772815304).

54480301920 is an abundant number, since it is smaller than the sum of its proper divisors (161065328688).

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

54480301920 is a wasteful number, since it uses less digits than its factorization.

54480301920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 54480301920 in words is "fifty-four billion, four hundred eighty million, three hundred one thousand, nine hundred twenty".