5254723584 has 384 divisors, whose sum is σ = 17407353600. Its totient is φ = 1552711680.

The previous prime is 5254723583. The next prime is 5254723633. The reversal of 5254723584 is 4853274525.

5254723584 is a `hidden beast` number, since 5 + 2 + 5 + 47 + 23 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5254723584² = 55224239888491610112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5254723583) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32237487 + ... + 32237649.

It is an arithmetic number, because the mean of its divisors is an integer number (45331650).

Almost surely, 2^5254723584 is an apocalyptic number.

5254723584 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5254723584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703676800).

5254723584 is an abundant number, since it is smaller than the sum of its proper divisors (12152630016).

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

5254723584 is a wasteful number, since it uses less digits than its factorization.

5254723584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 232 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 45.

The square root of 5254723584 is about 72489.4722287313. The cubic root of 5254723584 is about 1738.5344139349.

The spelling of 5254723584 in words is "five billion, two hundred fifty-four million, seven hundred twenty-three thousand, five hundred eighty-four".