2959769989008 has 320 divisors, whose sum is σ = 10211247390720. Its totient is φ = 802509700608.

The previous prime is 2959769988971. The next prime is 2959769989013. The reversal of 2959769989008 is 8009899679592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8665566 + ... + 9000642.

It is an arithmetic number, because the mean of its divisors is an integer number (31910148096).

Almost surely, 2^{2959769989008} is an apocalyptic number.

2959769989008 is a gapful number since it is divisible by the number (28) 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 2959769989008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5105623695360).

2959769989008 is an abundant number, since it is smaller than the sum of its proper divisors (7251477401712).

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

2959769989008 is a wasteful number, since it uses less digits than its factorization.

2959769989008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335251 (or 335239 counting only the distinct ones).

The product of its (nonzero) digits is 1587237120, while the sum is 81.

The spelling of 2959769989008 in words is "two trillion, nine hundred fifty-nine billion, seven hundred sixty-nine million, nine hundred eighty-nine thousand, eight".