2871727752960 has 432 divisors, whose sum is σ = 10991838993408. Its totient is φ = 686368972800.

The previous prime is 2871727752931. The next prime is 2871727752991. The reversal of 2871727752960 is 692577271782.

2871727752960 is a `hidden beast` number, since 2 + 8 + 71 + 7 + 277 + 5 + 296 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8837529 + ... + 9156711.

It is an arithmetic number, because the mean of its divisors is an integer number (25444071744).

Almost surely, 2^{2871727752960} is an apocalyptic number.

2871727752960 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 2871727752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5495919496704).

2871727752960 is an abundant number, since it is smaller than the sum of its proper divisors (8120111240448).

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

2871727752960 is a wasteful number, since it uses less digits than its factorization.

2871727752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319292 (or 319275 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 2871727752960 in words is "two trillion, eight hundred seventy-one billion, seven hundred twenty-seven million, seven hundred fifty-two thousand, nine hundred sixty".