5256400500 has 384 divisors, whose sum is σ = 18653806080. Its totient is φ = 1270080000.

The previous prime is 5256400489. The next prime is 5256400529. The reversal of 5256400500 is 50046525.

5256400500 is a `hidden beast` number, since 5 + 256 + 400 + 5 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10705255 + ... + 10705745.

It is an arithmetic number, because the mean of its divisors is an integer number (48577620).

Almost surely, 2^5256400500 is an apocalyptic number.

5256400500 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 5256400500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9326903040).

5256400500 is an abundant number, since it is smaller than the sum of its proper divisors (13397405580).

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

5256400500 is a wasteful number, since it uses less digits than its factorization.

5256400500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 5256400500 is about 72501.0379236049. The cubic root of 5256400500 is about 1738.7193311217.

The spelling of 5256400500 in words is "five billion, two hundred fifty-six million, four hundred thousand, five hundred".