2959718952960 has 4160 divisors, whose sum is σ = 14797207941120. Its totient is φ = 546979184640.

The previous prime is 2959718952947. The next prime is 2959718952979. The reversal of 2959718952960 is 692598179592.

2959718952960 is a `hidden beast` number, since 2 + 9 + 5 + 97 + 1 + 8 + 9 + 529 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 62972743657 + ... + 62972743703.

Almost surely, 2^{2959718952960} is an apocalyptic number.

2959718952960 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 2959718952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7398603970560).

2959718952960 is an abundant number, since it is smaller than the sum of its proper divisors (11837488988160).

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

2959718952960 is a wasteful number, since it uses less digits than its factorization.

2959718952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 72.

The spelling of 2959718952960 in words is "two trillion, nine hundred fifty-nine billion, seven hundred eighteen million, nine hundred fifty-two thousand, nine hundred sixty".