5083378560 has 640 divisors, whose sum is σ = 20630887200. Its totient is φ = 1182449664.

The previous prime is 5083378493. The next prime is 5083378571. The reversal of 5083378560 is 658733805.

5083378560 is a `hidden beast` number, since 5 + 0 + 83 + 3 + 7 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 12804282 + ... + 12804678.

Almost surely, 2^5083378560 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 5083378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10315443600).

5083378560 is an abundant number, since it is smaller than the sum of its proper divisors (15547508640).

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

5083378560 is a wasteful number, since it uses less digits than its factorization.

5083378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 439 counting only the distinct ones).

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

The square root of 5083378560 is about 71297.8159553292. The cubic root of 5083378560 is about 1719.4286185738.

The spelling of 5083378560 in words is "five billion, eighty-three million, three hundred seventy-eight thousand, five hundred sixty".