5126375700600 has 768 divisors, whose sum is σ = 22082786611200. Its totient is φ = 949791744000.

The previous prime is 5126375700577. The next prime is 5126375700613. The reversal of 5126375700600 is 60075736215.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14750835 + ... + 15094365.

It is an arithmetic number, because the mean of its divisors is an integer number (28753628400).

Almost surely, 2^{5126375700600} is an apocalyptic number.

5126375700600 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 5126375700600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11041393305600).

5126375700600 is an abundant number, since it is smaller than the sum of its proper divisors (16956410910600).

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

5126375700600 is a wasteful number, since it uses less digits than its factorization.

5126375700600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343604 (or 343595 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The spelling of 5126375700600 in words is "five trillion, one hundred twenty-six billion, three hundred seventy-five million, seven hundred thousand, six hundred".