5053777920 has 336 divisors, whose sum is σ = 18207696780. Its totient is φ = 1345683456.

The previous prime is 5053777903. The next prime is 5053777921. The reversal of 5053777920 is 297773505.

It is a happy number.

5053777920 is a `hidden beast` number, since 505 + 3 + 77 + 79 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4658881536 + 394896384 = 68256^2 + 19872^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5053777921) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 7464622 + ... + 7465298.

Almost surely, 2^5053777920 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 5053777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9103848390).

5053777920 is an abundant number, since it is smaller than the sum of its proper divisors (13153918860).

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

5053777920 is an frugal number, since it uses more digits than its factorization.

5053777920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The square root of 5053777920 is about 71089.9284005829. The cubic root of 5053777920 is about 1716.0846943380.

The spelling of 5053777920 in words is "five billion, fifty-three million, seven hundred seventy-seven thousand, nine hundred twenty".