5190668264736 has 288 divisors, whose sum is σ = 15394041726336. Its totient is φ = 1720486656000.

The previous prime is 5190668264681. The next prime is 5190668264791. The reversal of 5190668264736 is 6374628660915.

5190668264736 is a `hidden beast` number, since 51 + 90 + 6 + 6 + 8 + 26 + 473 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (5190668264681) and next prime (5190668264791).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5190668264736² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1182113101 + ... + 1182117491.

It is an arithmetic number, because the mean of its divisors is an integer number (53451533772).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5190668264736 = 10381336529472, but 3⋅5190668264736 = 15572004794208 is not.

Almost surely, 2^{5190668264736} 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 5190668264736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7697020863168).

5190668264736 is an abundant number, since it is smaller than the sum of its proper divisors (10203373461600).

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

5190668264736 is a wasteful number, since it uses less digits than its factorization.

5190668264736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5238 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 5190668264736 in words is "five trillion, one hundred ninety billion, six hundred sixty-eight million, two hundred sixty-four thousand, seven hundred thirty-six".