54288092160 has 440 divisors, whose sum is σ = 197119222080. Its totient is φ = 14284947456.

The previous prime is 54288092147. The next prime is 54288092203. The reversal of 54288092160 is 6129088245.

54288092160 is a `hidden beast` number, since 5 + 428 + 8 + 0 + 9 + 216 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 32762052 + ... + 32763708.

It is an arithmetic number, because the mean of its divisors is an integer number (447998232).

Almost surely, 2^54288092160 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 54288092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98559611040).

54288092160 is an abundant number, since it is smaller than the sum of its proper divisors (142831129920).

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

54288092160 is a wasteful number, since it uses less digits than its factorization.

54288092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1746 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 54288092160 in words is "fifty-four billion, two hundred eighty-eight million, ninety-two thousand, one hundred sixty".