5056416000 has 432 divisors, whose sum is σ = 18483589488. Its totient is φ = 1327104000.

The previous prime is 5056415989. The next prime is 5056416019. The reversal of 5056416000 is 6146505.

It is a happy number.

5056416000 is a `hidden beast` number, since 5 + 0 + 56 + 4 + 1 + 600 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3446159616 + 1610256384 = 58704^2 + 40128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27935910 + ... + 27936090.

Almost surely, 2^5056416000 is an apocalyptic number.

5056416000 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 5056416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241794744).

5056416000 is an abundant number, since it is smaller than the sum of its proper divisors (13427173488).

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

5056416000 is a wasteful number, since it uses less digits than its factorization.

5056416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5056416000 is about 71108.4805068988. The cubic root of 5056416000 is about 1716.3832420305.

It can be divided in two parts, 50564 and 16000, that added together give a square (66564 = 258²).

The spelling of 5056416000 in words is "five billion, fifty-six million, four hundred sixteen thousand".