5106972374784 has 1440 divisors, whose sum is σ = 18498252326400. Its totient is φ = 1399729766400.

The previous prime is 5106972374761. The next prime is 5106972374839. The reversal of 5106972374784 is 4874732796015.

5106972374784 is a `hidden beast` number, since 5 + 1 + 0 + 69 + 72 + 37 + 478 + 4 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 24203660439 + ... + 24203660649.

It is an arithmetic number, because the mean of its divisors is an integer number (12846008560).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5106972374784 = 10213944749568, but 3⋅5106972374784 = 15320917124352 is not.

Almost surely, 2^{5106972374784} is an apocalyptic number.

5106972374784 is a gapful number since it is divisible by the number (54) 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 5106972374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249126163200).

5106972374784 is an abundant number, since it is smaller than the sum of its proper divisors (13391279951616).

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

5106972374784 is an equidigital number, since it uses as much as digits as its factorization.

5106972374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 5106972374784 in words is "five trillion, one hundred six billion, nine hundred seventy-two million, three hundred seventy-four thousand, seven hundred eighty-four".