5190509413728 has 576 divisors, whose sum is σ = 16176667852800. Its totient is φ = 1573679923200.

The previous prime is 5190509413721. The next prime is 5190509413769. The reversal of 5190509413728 is 8273149050915.

It is a happy number.

5190509413728 is a `hidden beast` number, since 5 + 1 + 90 + 509 + 41 + 3 + 7 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5190509413721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3683824288 + ... + 3683825696.

It is an arithmetic number, because the mean of its divisors is an integer number (28084492800).

Almost surely, 2^{5190509413728} is an apocalyptic number.

5190509413728 is a gapful number since it is divisible by the number (58) 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 5190509413728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8088333926400).

5190509413728 is an abundant number, since it is smaller than the sum of its proper divisors (10986158439072).

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

5190509413728 is a wasteful number, since it uses less digits than its factorization.

5190509413728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 5190509413728 in words is "five trillion, one hundred ninety billion, five hundred nine million, four hundred thirteen thousand, seven hundred twenty-eight".