2959057020168 has 96 divisors (see below), whose sum is σ = 8076216788640. Its totient is φ = 978710503680.

The previous prime is 2959057020131. The next prime is 2959057020181. The reversal of 2959057020168 is 8610207509592.

2959057020168 is a `hidden beast` number, since 2 + 9 + 5 + 9 + 0 + 570 + 2 + 0 + 1 + 68 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138762355 + ... + 138783677.

It is an arithmetic number, because the mean of its divisors is an integer number (84127258215).

Almost surely, 2^{2959057020168} 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 2959057020168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038108394320).

2959057020168 is an abundant number, since it is smaller than the sum of its proper divisors (5117159768472).

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

2959057020168 is a wasteful number, since it uses less digits than its factorization.

2959057020168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36179 (or 36172 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 2959057020168 in words is "two trillion, nine hundred fifty-nine billion, fifty-seven million, twenty thousand, one hundred sixty-eight".