5056017408000 has 1568 divisors, whose sum is σ = 20414405177712. Its totient is φ = 1242169344000.

The previous prime is 5056017407933. The next prime is 5056017408017. The reversal of 5056017408000 is 8047106505.

5056017408000 is a `hidden beast` number, since 5 + 0 + 5 + 601 + 7 + 40 + 8 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 79334608896 + 4976682799104 = 281664^2 + 2230848^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9704447740 + ... + 9704448260.

Almost surely, 2^{5056017408000} is an apocalyptic number.

5056017408000 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 5056017408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10207202588856).

5056017408000 is an abundant number, since it is smaller than the sum of its proper divisors (15358387769712).

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

5056017408000 is an frugal number, since it uses more digits than its factorization.

5056017408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 5056017408000 in words is "five trillion, fifty-six billion, seventeen million, four hundred eight thousand".