5131734386688 has 768 divisors, whose sum is σ = 18769750272000. Its totient is φ = 1349064916992.

The previous prime is 5131734386687. The next prime is 5131734386719. The reversal of 5131734386688 is 8866834371315.

It is a happy number.

5131734386688 is a `hidden beast` number, since 5 + 1 + 3 + 173 + 4 + 386 + 6 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is not an unprimeable number, because it can be changed into a prime (5131734386683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1746080323 + ... + 1746083261.

It is an arithmetic number, because the mean of its divisors is an integer number (24439779000).

Almost surely, 2^{5131734386688} 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 5131734386688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9384875136000).

5131734386688 is an abundant number, since it is smaller than the sum of its proper divisors (13638015885312).

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

5131734386688 is a wasteful number, since it uses less digits than its factorization.

5131734386688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3311 counting only the distinct ones).

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

The spelling of 5131734386688 in words is "five trillion, one hundred thirty-one billion, seven hundred thirty-four million, three hundred eighty-six thousand, six hundred eighty-eight".