5338969251840 has 2352 divisors, whose sum is σ = 23148960778440. Its totient is φ = 1177194332160.

The previous prime is 5338969251827. The next prime is 5338969251853. The reversal of 5338969251840 is 481529698335.

5338969251840 is a `hidden beast` number, since 5 + 33 + 89 + 6 + 9 + 2 + 518 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5338969251827) and next prime (5338969251853).

It can be written as a sum of positive squares in 4 ways, for example, as 2002881613824 + 3336087638016 = 1415232^2 + 1826496^2 .

It is a tau number, because it is divible by the number of its divisors (2352).

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 167 ways as a sum of consecutive naturals, for example, 59988418516 + ... + 59988418604.

Almost surely, 2^{5338969251840} 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 5338969251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11574480389220).

5338969251840 is an abundant number, since it is smaller than the sum of its proper divisors (17809991526600).

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

5338969251840 is an frugal number, since it uses more digits than its factorization.

5338969251840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5338969251840 in words is "five trillion, three hundred thirty-eight billion, nine hundred sixty-nine million, two hundred fifty-one thousand, eight hundred forty".