2725171142616 has 192 divisors, whose sum is σ = 8209971544320. Its totient is φ = 810955514880.

The previous prime is 2725171142593. The next prime is 2725171142633. The reversal of 2725171142616 is 6162411715272.

2725171142616 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 17 + 1 + 14 + 2 + 616 = 666.

It is a super-3 number, since 3×2725171142616³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47470506 + ... + 47527878.

It is an arithmetic number, because the mean of its divisors is an integer number (42760268460).

Almost surely, 2^{2725171142616} is an apocalyptic number.

2725171142616 is a gapful number since it is divisible by the number (26) 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 2725171142616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104985772160).

2725171142616 is an abundant number, since it is smaller than the sum of its proper divisors (5484800401704).

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

2725171142616 is a wasteful number, since it uses less digits than its factorization.

2725171142616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59066 (or 59059 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

Adding to 2725171142616 its reverse (6162411715272), we get a palindrome (8887582857888).

The spelling of 2725171142616 in words is "two trillion, seven hundred twenty-five billion, one hundred seventy-one million, one hundred forty-two thousand, six hundred sixteen".