5340195710208 has 576 divisors, whose sum is σ = 16883872346880. Its totient is φ = 1659108851712.

The previous prime is 5340195710203. The next prime is 5340195710251. The reversal of 5340195710208 is 8020175910435.

5340195710208 is a `hidden beast` number, since 5 + 3 + 40 + 19 + 571 + 0 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5340195710203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9005388760 + ... + 9005389352.

It is an arithmetic number, because the mean of its divisors is an integer number (29312278380).

Almost surely, 2^{5340195710208} 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 5340195710208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8441936173440).

5340195710208 is an abundant number, since it is smaller than the sum of its proper divisors (11543676636672).

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

5340195710208 is a wasteful number, since it uses less digits than its factorization.

5340195710208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 5340195710208 in words is "five trillion, three hundred forty billion, one hundred ninety-five million, seven hundred ten thousand, two hundred eight".