2871369345600 has 3360 divisors, whose sum is σ = 13550637465600. Its totient is φ = 588910694400.

The previous prime is 2871369345587. The next prime is 2871369345617. The reversal of 2871369345600 is 65439631782.

2871369345600 is a `hidden beast` number, since 2 + 8 + 7 + 13 + 69 + 3 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 61092964777 + ... + 61092964823.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2871369345600 = 5742738691200, but 3⋅2871369345600 = 8614108036800 is not.

Almost surely, 2^{2871369345600} is an apocalyptic number.

2871369345600 is a gapful number since it is divisible by the number (20) 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 2871369345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775318732800).

2871369345600 is an abundant number, since it is smaller than the sum of its proper divisors (10679268120000).

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

2871369345600 is a wasteful number, since it uses less digits than its factorization.

2871369345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 2871369345600 in words is "two trillion, eight hundred seventy-one billion, three hundred sixty-nine million, three hundred forty-five thousand, six hundred".