5171656475520 has 384 divisors, whose sum is σ = 19198273536000. Its totient is φ = 1278724091904.

The previous prime is 5171656475417. The next prime is 5171656475521. The reversal of 5171656475520 is 255746561715.

5171656475520 is a `hidden beast` number, since 5 + 1 + 7 + 1 + 6 + 564 + 7 + 55 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171656475521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4640961 + ... + 5646399.

It is an arithmetic number, because the mean of its divisors is an integer number (49995504000).

Almost surely, 2^{5171656475520} 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 5171656475520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9599136768000).

5171656475520 is an abundant number, since it is smaller than the sum of its proper divisors (14026617060480).

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

5171656475520 is a wasteful number, since it uses less digits than its factorization.

5171656475520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005530 (or 1005515 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 54.

The spelling of 5171656475520 in words is "five trillion, one hundred seventy-one billion, six hundred fifty-six million, four hundred seventy-five thousand, five hundred twenty".