5249175819264 has 880 divisors, whose sum is σ = 17976131712000. Its totient is φ = 1511433437184.

The previous prime is 5249175819211. The next prime is 5249175819287. The reversal of 5249175819264 is 4629185719425.

5249175819264 is a `hidden beast` number, since 5 + 2 + 49 + 1 + 7 + 581 + 9 + 2 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3647793457 + ... + 3647794895.

It is an arithmetic number, because the mean of its divisors is an integer number (20427422400).

Almost surely, 2^{5249175819264} is an apocalyptic number.

5249175819264 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 5249175819264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8988065856000).

5249175819264 is an abundant number, since it is smaller than the sum of its proper divisors (12726955892736).

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

5249175819264 is a wasteful number, since it uses less digits than its factorization.

5249175819264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1673 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 5249175819264 in words is "five trillion, two hundred forty-nine billion, one hundred seventy-five million, eight hundred nineteen thousand, two hundred sixty-four".