54087048288 has 864 divisors, whose sum is σ = 207048441600. Its totient is φ = 13234378752.

The previous prime is 54087048287. The next prime is 54087048289. The reversal of 54087048288 is 88284078045.

54087048288 is a `hidden beast` number, since 5 + 4 + 0 + 87 + 0 + 482 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (54087048287) and next prime (54087048289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54087048287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 205654045 + ... + 205654307.

It is an arithmetic number, because the mean of its divisors is an integer number (239639400).

Almost surely, 2^54087048288 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 54087048288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103524220800).

54087048288 is an abundant number, since it is smaller than the sum of its proper divisors (152961393312).

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

54087048288 is a wasteful number, since it uses less digits than its factorization.

54087048288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 4587520, while the sum is 54.

The spelling of 54087048288 in words is "fifty-four billion, eighty-seven million, forty-eight thousand, two hundred eighty-eight".