54288090214560 has 1152 divisors, whose sum is σ = 194349470515200. Its totient is φ = 13789727981568.

The previous prime is 54288090214549. The next prime is 54288090214573. The reversal of 54288090214560 is 6541209088245.

54288090214560 is a `hidden beast` number, since 5 + 4 + 2 + 8 + 80 + 90 + 21 + 456 + 0 = 666.

54288090214560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 54288090214497 and 54288090214506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176834169927 + ... + 176834170233.

It is an arithmetic number, because the mean of its divisors is an integer number (168706137600).

Almost surely, 2^{54288090214560} 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 54288090214560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97174735257600).

54288090214560 is an abundant number, since it is smaller than the sum of its proper divisors (140061380300640).

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

54288090214560 is a wasteful number, since it uses less digits than its factorization.

54288090214560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 54288090214560 in words is "fifty-four trillion, two hundred eighty-eight billion, ninety million, two hundred fourteen thousand, five hundred sixty".