54431844480 has 1152 divisors, whose sum is σ = 224215992000. Its totient is φ = 12576964608.

The previous prime is 54431844457. The next prime is 54431844491. The reversal of 54431844480 is 8444813445.

54431844480 is a `hidden beast` number, since 54 + 43 + 1 + 84 + 4 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 499374666 + ... + 499374774.

Almost surely, 2^54431844480 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 54431844480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112107996000).

54431844480 is an abundant number, since it is smaller than the sum of its proper divisors (169784147520).

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

54431844480 is a wasteful number, since it uses less digits than its factorization.

54431844480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 54431844480 in words is "fifty-four billion, four hundred thirty-one million, eight hundred forty-four thousand, four hundred eighty".