52481654784 has 448 divisors, whose sum is σ = 170478816900. Its totient is φ = 16148201472.

The previous prime is 52481654777. The next prime is 52481654803. The reversal of 52481654784 is 48745618425.

The cubic root of 52481654784 is 3744.

It is a perfect power (a cube), and thus also a powerful number.

52481654784 is a `hidden beast` number, since 5 + 2 + 4 + 8 + 16 + 547 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16351248384 + 36130406400 = 127872^2 + 190080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 52481654784.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4037050362 + ... + 4037050374.

Almost surely, 2^52481654784 is an apocalyptic number.

52481654784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52481654784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85239408450).

52481654784 is an abundant number, since it is smaller than the sum of its proper divisors (117997162116).

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

52481654784 is an frugal number, since it uses more digits than its factorization.

52481654784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 18 counting only the distinct ones).

The product of its digits is 8601600, while the sum is 54.

The spelling of 52481654784 in words is "fifty-two billion, four hundred eighty-one million, six hundred fifty-four thousand, seven hundred eighty-four".