5056357824 has 448 divisors, whose sum is σ = 18288000000. Its totient is φ = 1365590016.

The previous prime is 5056357793. The next prime is 5056357853. The reversal of 5056357824 is 4287536505.

5056357824 is a `hidden beast` number, since 5 + 0 + 5 + 635 + 7 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 5056357824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11261152 + ... + 11261600.

Almost surely, 2^5056357824 is an apocalyptic number.

5056357824 is a gapful number since it is divisible by the number (54) 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 5056357824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9144000000).

5056357824 is an abundant number, since it is smaller than the sum of its proper divisors (13231642176).

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

5056357824 is a wasteful number, since it uses less digits than its factorization.

5056357824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5056357824 is about 71108.0714405896. The cubic root of 5056357824 is about 1716.3766594567.

The spelling of 5056357824 in words is "five billion, fifty-six million, three hundred fifty-seven thousand, eight hundred twenty-four".