5163784560 has 320 divisors, whose sum is σ = 19683025920. Its totient is φ = 1233792000.

The previous prime is 5163784543. The next prime is 5163784601. The reversal of 5163784560 is 654873615.

5163784560 is a `hidden beast` number, since 5 + 1 + 6 + 3 + 7 + 84 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1685430 + ... + 1688490.

It is an arithmetic number, because the mean of its divisors is an integer number (61509456).

Almost surely, 2^5163784560 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 5163784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9841512960).

5163784560 is an abundant number, since it is smaller than the sum of its proper divisors (14519241360).

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

5163784560 is a wasteful number, since it uses less digits than its factorization.

5163784560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3153 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5163784560 is about 71859.4778717463. The cubic root of 5163784560 is about 1728.4468848052.

The spelling of 5163784560 in words is "five billion, one hundred sixty-three million, seven hundred eighty-four thousand, five hundred sixty".