5193777984 has 224 divisors, whose sum is σ = 15504566400. Its totient is φ = 1524695040.

The previous prime is 5193777947. The next prime is 5193778027. The reversal of 5193777984 is 4897773915.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5518954 + ... + 5519894.

Almost surely, 2^5193777984 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 5193777984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7752283200).

5193777984 is an abundant number, since it is smaller than the sum of its proper divisors (10310788416).

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

5193777984 is a wasteful number, since it uses less digits than its factorization.

5193777984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1071 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 60.

The square root of 5193777984 is about 72067.8706775773. The cubic root of 5193777984 is about 1731.7869408496.

It can be divided in two parts, 51937 and 77984, that added together give a palindrome (129921).

The spelling of 5193777984 in words is "five billion, one hundred ninety-three million, seven hundred seventy-seven thousand, nine hundred eighty-four".