5871268892160 has 960 divisors, whose sum is σ = 23584052524032. Its totient is φ = 1322191945728.

The previous prime is 5871268892117. The next prime is 5871268892387. The reversal of 5871268892160 is 612988621785.

5871268892160 is a `hidden beast` number, since 5 + 87 + 1 + 268 + 89 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 4114413367 + ... + 4114414793.

Almost surely, 2^{5871268892160} 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 5871268892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792026262016).

5871268892160 is an abundant number, since it is smaller than the sum of its proper divisors (17712783631872).

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

5871268892160 is a wasteful number, since it uses less digits than its factorization.

5871268892160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1804 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 5871268892160 in words is "five trillion, eight hundred seventy-one billion, two hundred sixty-eight million, eight hundred ninety-two thousand, one hundred sixty".