5259377600 has 84 divisors (see below), whose sum is σ = 13105485600. Its totient is φ = 2077071360.

The previous prime is 5259377569. The next prime is 5259377603. The reversal of 5259377600 is 67739525.

It is a super-2 number, since 2×5259377600² = 55322105478763520000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5259377603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105596 + ... + 147204.

Almost surely, 2^5259377600 is an apocalyptic number.

5259377600 is a gapful number since it is divisible by the number (50) 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 5259377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552742800).

5259377600 is an abundant number, since it is smaller than the sum of its proper divisors (7846108000).

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

5259377600 is a wasteful number, since it uses less digits than its factorization.

5259377600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41710 (or 41695 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 44.

The square root of 5259377600 is about 72521.5664475058. The cubic root of 5259377600 is about 1739.0475255693.

The spelling of 5259377600 in words is "five billion, two hundred fifty-nine million, three hundred seventy-seven thousand, six hundred".