5056050126600 has 1536 divisors, whose sum is σ = 20532185856000. Its totient is φ = 1130568192000.

The previous prime is 5056050126599. The next prime is 5056050126601. The reversal of 5056050126600 is 66210506505.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5056050126599) and next prime (5056050126601).

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

It is not an unprimeable number, because it can be changed into a prime (5056050126601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10826659567 + ... + 10826660033.

It is an arithmetic number, because the mean of its divisors is an integer number (13367308500).

Almost surely, 2^{5056050126600} is an apocalyptic number.

5056050126600 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 5056050126600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10266092928000).

5056050126600 is an abundant number, since it is smaller than the sum of its proper divisors (15476135729400).

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

5056050126600 is a wasteful number, since it uses less digits than its factorization.

5056050126600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 5056050126600 in words is "five trillion, fifty-six billion, fifty million, one hundred twenty-six thousand, six hundred".