5254588416 has 384 divisors, whose sum is σ = 18114969600. Its totient is φ = 1314324480.

The previous prime is 5254588393. The next prime is 5254588447. The reversal of 5254588416 is 6148854525.

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

It is a super-2 number, since 2×5254588416² = 55221398843122778112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13719361 + ... + 13719743.

It is an arithmetic number, because the mean of its divisors is an integer number (47174400).

Almost surely, 2^5254588416 is an apocalyptic number.

5254588416 is a gapful number since it is divisible by the number (56) 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 5254588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9057484800).

5254588416 is an abundant number, since it is smaller than the sum of its proper divisors (12860381184).

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

5254588416 is a wasteful number, since it uses less digits than its factorization.

5254588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 435 counting only the distinct ones).

The product of its digits is 1536000, while the sum is 48.

The square root of 5254588416 is about 72488.5398942481. The cubic root of 5254588416 is about 1738.5195069513.

The spelling of 5254588416 in words is "five billion, two hundred fifty-four million, five hundred eighty-eight thousand, four hundred sixteen".