5136125760000 has 1600 divisors, whose sum is σ = 19811725718400. Its totient is φ = 1328762880000.

The previous prime is 5136125759981. The next prime is 5136125760013. The reversal of 5136125760000 is 675216315.

5136125760000 is a `hidden beast` number, since 5 + 1 + 36 + 12 + 5 + 7 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-3 number, since 3×5136125760000³ (a number of 39 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28693439911 + ... + 28693440089.

It is an arithmetic number, because the mean of its divisors is an integer number (12382328574).

Almost surely, 2^{5136125760000} is an apocalyptic number.

5136125760000 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 5136125760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9905862859200).

5136125760000 is an abundant number, since it is smaller than the sum of its proper divisors (14675599958400).

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

5136125760000 is an frugal number, since it uses more digits than its factorization.

5136125760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 5136125760000 in words is "five trillion, one hundred thirty-six billion, one hundred twenty-five million, seven hundred sixty thousand".