54082488240 has 240 divisors, whose sum is σ = 205477848576. Its totient is φ = 13110854400.

The previous prime is 54082488221. The next prime is 54082488241. The reversal of 54082488240 is 4288428045.

54082488240 is a `hidden beast` number, since 54 + 0 + 82 + 488 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54082488241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87385 + ... + 340295.

Almost surely, 2^54082488240 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 54082488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102738924288).

54082488240 is an abundant number, since it is smaller than the sum of its proper divisors (151395360336).

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

54082488240 is a wasteful number, since it uses less digits than its factorization.

54082488240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252950 (or 252932 counting only the distinct ones).

The product of its (nonzero) digits is 655360, while the sum is 45.

The spelling of 54082488240 in words is "fifty-four billion, eighty-two million, four hundred eighty-eight thousand, two hundred forty".