5126936205600 has 1296 divisors, whose sum is σ = 20218280322240. Its totient is φ = 1221462528000.

The previous prime is 5126936205571. The next prime is 5126936205709. The reversal of 5126936205600 is 65026396215.

5126936205600 is a `hidden beast` number, since 5 + 1 + 2 + 6 + 9 + 36 + 2 + 0 + 5 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 19059242266 + ... + 19059242534.

It is an arithmetic number, because the mean of its divisors is an integer number (15600524940).

Almost surely, 2^{5126936205600} is an apocalyptic number.

5126936205600 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 5126936205600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10109140161120).

5126936205600 is an abundant number, since it is smaller than the sum of its proper divisors (15091344116640).

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

5126936205600 is a wasteful number, since it uses less digits than its factorization.

5126936205600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 5126936205600 in words is "five trillion, one hundred twenty-six billion, nine hundred thirty-six million, two hundred five thousand, six hundred".