2551705571716 has 72 divisors (see below), whose sum is σ = 5445156830400. Its totient is φ = 1024724470272.

The previous prime is 2551705571689. The next prime is 2551705571719. The reversal of 2551705571716 is 6171755071552.

It is a super-2 number, since 2×2551705571716² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2551705571719) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1142310 + ... + 2531458.

It is an arithmetic number, because the mean of its divisors is an integer number (75627178200).

Almost surely, 2^{2551705571716} 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 2551705571716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722578415200).

2551705571716 is an abundant number, since it is smaller than the sum of its proper divisors (2893451258684).

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

2551705571716 is a wasteful number, since it uses less digits than its factorization.

2551705571716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389421 (or 1389402 counting only the distinct ones).

The product of its (nonzero) digits is 2572500, while the sum is 52.

The spelling of 2551705571716 in words is "two trillion, five hundred fifty-one billion, seven hundred five million, five hundred seventy-one thousand, seven hundred sixteen".