53788084560 has 320 divisors, whose sum is σ = 215735477760. Its totient is φ = 12062269440.

The previous prime is 53788084501. The next prime is 53788084577. The reversal of 53788084560 is 6548088735.

53788084560 is a `hidden beast` number, since 5 + 3 + 78 + 8 + 0 + 8 + 4 + 560 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 53788084497 and 53788084506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 767800 + ... + 834920.

It is an arithmetic number, because the mean of its divisors is an integer number (674173368).

Almost surely, 2^53788084560 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 53788084560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107867738880).

53788084560 is an abundant number, since it is smaller than the sum of its proper divisors (161947393200).

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

53788084560 is a wasteful number, since it uses less digits than its factorization.

53788084560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67203 (or 67191 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 53788084560 in words is "fifty-three billion, seven hundred eighty-eight million, eighty-four thousand, five hundred sixty".