5753069280 has 1152 divisors, whose sum is σ = 26545397760. Its totient is φ = 1134673920.

The previous prime is 5753069279. The next prime is 5753069293. The reversal of 5753069280 is 829603575.

It is a happy number.

5753069280 is a `hidden beast` number, since 57 + 530 + 69 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×5753069280² = 66195612280959436800, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 185582865 + ... + 185582895.

It is an arithmetic number, because the mean of its divisors is an integer number (23042880).

Almost surely, 2^5753069280 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 5753069280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13272698880).

5753069280 is an abundant number, since it is smaller than the sum of its proper divisors (20792328480).

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

5753069280 is a wasteful number, since it uses less digits than its factorization.

5753069280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5753069280 is about 75848.9899734993. The cubic root of 5753069280 is about 1791.8426433629.

The spelling of 5753069280 in words is "five billion, seven hundred fifty-three million, sixty-nine thousand, two hundred eighty".