2959495896672 has 384 divisors, whose sum is σ = 10028156544000. Its totient is φ = 831692095488.

The previous prime is 2959495896661. The next prime is 2959495896677. The reversal of 2959495896672 is 2766985949592.

2959495896672 is a `hidden beast` number, since 2 + 9 + 59 + 495 + 8 + 9 + 6 + 6 + 72 = 666.

2959495896672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2959495896591 and 2959495896600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2959495896677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 95609454 + ... + 95640402.

It is an arithmetic number, because the mean of its divisors is an integer number (26114991000).

Almost surely, 2^{2959495896672} 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 2959495896672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014078272000).

2959495896672 is an abundant number, since it is smaller than the sum of its proper divisors (7068660647328).

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

2959495896672 is a wasteful number, since it uses less digits than its factorization.

2959495896672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31235 (or 31221 counting only the distinct ones).

The product of its digits is 5290790400, while the sum is 81.

The spelling of 2959495896672 in words is "two trillion, nine hundred fifty-nine billion, four hundred ninety-five million, eight hundred ninety-six thousand, six hundred seventy-two".