5256341475840 has 2880 divisors, whose sum is σ = 24625526365440. Its totient is φ = 1044855521280.

The previous prime is 5256341475829. The next prime is 5256341475899. The reversal of 5256341475840 is 485741436525.

5256341475840 is a `hidden beast` number, since 5 + 2 + 56 + 3 + 4 + 1 + 4 + 7 + 584 + 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 29040560550 + ... + 29040560730.

It is an arithmetic number, because the mean of its divisors is an integer number (8550529988).

Almost surely, 2^{5256341475840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5256341475840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12312763182720).

5256341475840 is an abundant number, since it is smaller than the sum of its proper divisors (19369184889600).

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

5256341475840 is an equidigital number, since it uses as much as digits as its factorization.

5256341475840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 5256341475840 in words is "five trillion, two hundred fifty-six billion, three hundred forty-one million, four hundred seventy-five thousand, eight hundred forty".