54367044480 has 960 divisors, whose sum is σ = 239328658800. Its totient is φ = 11686477824.

The previous prime is 54367044461. The next prime is 54367044481. The reversal of 54367044480 is 8444076345.

54367044480 is a `hidden beast` number, since 543 + 67 + 0 + 4 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (54367044481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 43182091 + ... + 43183349.

Almost surely, 2^54367044480 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 54367044480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119664329400).

54367044480 is an abundant number, since it is smaller than the sum of its proper divisors (184961614320).

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

54367044480 is a wasteful number, since it uses less digits than its factorization.

54367044480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 54367044480 in words is "fifty-four billion, three hundred sixty-seven million, forty-four thousand, four hundred eighty".