2959061379120 has 720 divisors, whose sum is σ = 12914031574080. Its totient is φ = 593663938560.

The previous prime is 2959061379097. The next prime is 2959061379221. The reversal of 2959061379120 is 219731609592.

2959061379120 is a `hidden beast` number, since 2 + 9 + 5 + 9 + 0 + 613 + 7 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17601702 + ... + 17769018.

It is an arithmetic number, because the mean of its divisors is an integer number (17936154964).

Almost surely, 2^{2959061379120} is an apocalyptic number.

2959061379120 is a gapful number since it is divisible by the number (20) 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 2959061379120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457015787040).

2959061379120 is an abundant number, since it is smaller than the sum of its proper divisors (9954970194960).

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

2959061379120 is a wasteful number, since it uses less digits than its factorization.

2959061379120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167394 (or 167374 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The spelling of 2959061379120 in words is "two trillion, nine hundred fifty-nine billion, sixty-one million, three hundred seventy-nine thousand, one hundred twenty".