5671507171200 has 1536 divisors, whose sum is σ = 21916166025600. Its totient is φ = 1278266572800.

The previous prime is 5671507171177. The next prime is 5671507171201. The reversal of 5671507171200 is 21717051765.

It is a super-2 number, since 2×5671507171200² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5671507171201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5490325884 + ... + 5490326916.

Almost surely, 2^{5671507171200} is an apocalyptic number.

5671507171200 is a gapful number since it is divisible by the number (50) 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 5671507171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10958083012800).

5671507171200 is an abundant number, since it is smaller than the sum of its proper divisors (16244658854400).

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

5671507171200 is a wasteful number, since it uses less digits than its factorization.

5671507171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 42.

The spelling of 5671507171200 in words is "five trillion, six hundred seventy-one billion, five hundred seven million, one hundred seventy-one thousand, two hundred".