5258405408256 has 1440 divisors, whose sum is σ = 21093098330304. Its totient is φ = 1226244096000.

The previous prime is 5258405408149. The next prime is 5258405408279. The reversal of 5258405408256 is 6528045048525.

5258405408256 is a `hidden beast` number, since 5 + 2 + 5 + 8 + 40 + 540 + 8 + 2 + 56 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1877330056 + ... + 1877332856.

Almost surely, 2^{5258405408256} is an apocalyptic number.

5258405408256 is a gapful number since it is divisible by the number (56) 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 5258405408256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10546549165152).

5258405408256 is an abundant number, since it is smaller than the sum of its proper divisors (15834692922048).

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

5258405408256 is a wasteful number, since it uses less digits than its factorization.

5258405408256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904 (or 2874 counting only the distinct ones).

The product of its (nonzero) digits is 15360000, while the sum is 54.

It can be divided in two parts, 5258405 and 408256, that added together give a triangular number (5666661 = T₃₃₆₆).

The spelling of 5258405408256 in words is "five trillion, two hundred fifty-eight billion, four hundred five million, four hundred eight thousand, two hundred fifty-six".