5208171153408 has 768 divisors, whose sum is σ = 17271727200000. Its totient is φ = 1546405281792.

The previous prime is 5208171153401. The next prime is 5208171153421. The reversal of 5208171153408 is 8043511718025.

5208171153408 is a `hidden beast` number, since 5 + 20 + 8 + 1 + 71 + 153 + 408 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (5208171153401) 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, 5161715208 + ... + 5161716216.

It is an arithmetic number, because the mean of its divisors is an integer number (22489228125).

Almost surely, 2^{5208171153408} 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 5208171153408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8635863600000).

5208171153408 is an abundant number, since it is smaller than the sum of its proper divisors (12063556046592).

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

5208171153408 is a wasteful number, since it uses less digits than its factorization.

5208171153408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 5208171153408 in words is "five trillion, two hundred eight billion, one hundred seventy-one million, one hundred fifty-three thousand, four hundred eight".