5256921600 has 960 divisors, whose sum is σ = 23016026880. Its totient is φ = 1150156800.

The previous prime is 5256921599. The next prime is 5256921601. The reversal of 5256921600 is 61296525.

5256921600 is a `hidden beast` number, since 5 + 25 + 6 + 9 + 21 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (5256921599) and next prime (5256921601).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (5256921601) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 99187174 + ... + 99187226.

It is an arithmetic number, because the mean of its divisors is an integer number (23975028).

Almost surely, 2^5256921600 is an apocalyptic number.

5256921600 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 5256921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11508013440).

5256921600 is an abundant number, since it is smaller than the sum of its proper divisors (17759105280).

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

5256921600 is a wasteful number, since it uses less digits than its factorization.

5256921600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 5256921600 is about 72504.6315761966. The cubic root of 5256921600 is about 1738.7767859461.

The spelling of 5256921600 in words is "five billion, two hundred fifty-six million, nine hundred twenty-one thousand, six hundred".