5259377200 has 120 divisors (see below), whose sum is σ = 15753634560. Its totient is φ = 1639276800.

The previous prime is 5259377197. The next prime is 5259377209. The reversal of 5259377200 is 27739525.

It is a super-2 number, since 2×5259377200² = 55322097063759680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (5259377209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54580 + ... + 116179.

It is an arithmetic number, because the mean of its divisors is an integer number (131280288).

Almost surely, 2^5259377200 is an apocalyptic number.

5259377200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5259377200 is an abundant number, since it is smaller than the sum of its proper divisors (10494257360).

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

5259377200 is a wasteful number, since it uses less digits than its factorization.

5259377200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170795 (or 170784 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 40.

The square root of 5259377200 is about 72521.5636897054. The cubic root of 5259377200 is about 1739.0474814817.

The spelling of 5259377200 in words is "five billion, two hundred fifty-nine million, three hundred seventy-seven thousand, two hundred".