5136794288640 has 1600 divisors, whose sum is σ = 22523356627200. Its totient is φ = 1092174741504.

The previous prime is 5136794288617. The next prime is 5136794288651. The reversal of 5136794288640 is 468824976315.

5136794288640 is a `hidden beast` number, since 5 + 136 + 79 + 428 + 8 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2196148591 + ... + 2196150929.

It is an arithmetic number, because the mean of its divisors is an integer number (14077097892).

It is a 1-persistent number, because it is pandigital, but 2⋅5136794288640 = 10273588577280 is not.

Almost surely, 2^{5136794288640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5136794288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11261678313600).

5136794288640 is an abundant number, since it is smaller than the sum of its proper divisors (17386562338560).

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

5136794288640 is a wasteful number, since it uses less digits than its factorization.

5136794288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487 (or 2462 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5136794288640 in words is "five trillion, one hundred thirty-six billion, seven hundred ninety-four million, two hundred eighty-eight thousand, six hundred forty".