54287988480 has 1152 divisors, whose sum is σ = 223012500480. Its totient is φ = 12541132800.

The previous prime is 54287988449. The next prime is 54287988481. The reversal of 54287988480 is 8488978245.

54287988480 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 79 + 88 + 480 = 666.

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

It is a super-3 number, since 3×54287988480³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54287988481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1262511339 + ... + 1262511381.

It is an arithmetic number, because the mean of its divisors is an integer number (193587240).

Almost surely, 2^54287988480 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 54287988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111506250240).

54287988480 is an abundant number, since it is smaller than the sum of its proper divisors (168724512000).

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

54287988480 is an equidigital number, since it uses as much as digits as its factorization.

54287988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 54287988480 in words is "fifty-four billion, two hundred eighty-seven million, nine hundred eighty-eight thousand, four hundred eighty".