5256050342400 has 2880 divisors, whose sum is σ = 23299343210880. Its totient is φ = 1164533760000.

The previous prime is 5256050342377. The next prime is 5256050342461. The reversal of 5256050342400 is 42430506525.

5256050342400 is a `hidden beast` number, since 5 + 2 + 5 + 605 + 0 + 3 + 4 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

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 287 ways as a sum of consecutive naturals, for example, 52040102350 + ... + 52040102450.

It is an arithmetic number, because the mean of its divisors is an integer number (8090049726).

Almost surely, 2^{5256050342400} is an apocalyptic number.

5256050342400 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 5256050342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11649671605440).

5256050342400 is an abundant number, since it is smaller than the sum of its proper divisors (18043292868480).

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

5256050342400 is a wasteful number, since it uses less digits than its factorization.

5256050342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 5256050342400 its reverse (42430506525), we get a palindrome (5298480848925).

The spelling of 5256050342400 in words is "five trillion, two hundred fifty-six billion, fifty million, three hundred forty-two thousand, four hundred".