5259038400 has 1680 divisors, whose sum is σ = 26341742592. Its totient is φ = 995328000.

The previous prime is 5259038399. The next prime is 5259038423. The reversal of 5259038400 is 48309525.

5259038400 is a `hidden beast` number, since 525 + 90 + 3 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169646385 + ... + 169646415.

Almost surely, 2^5259038400 is an apocalyptic number.

5259038400 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 5259038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170871296).

5259038400 is an abundant number, since it is smaller than the sum of its proper divisors (21082704192).

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

5259038400 is a wasteful number, since it uses less digits than its factorization.

5259038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5259038400 is about 72519.2277951165. The cubic root of 5259038400 is about 1739.0101385343.

The spelling of 5259038400 in words is "five billion, two hundred fifty-nine million, thirty-eight thousand, four hundred".