2168741253120 has 624 divisors, whose sum is σ = 7910154855360. Its totient is φ = 505700941824.

The previous prime is 2168741253109. The next prime is 2168741253191. The reversal of 2168741253120 is 213521478612.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 197278344 + ... + 197289336.

Almost surely, 2^{2168741253120} is an apocalyptic number.

2168741253120 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 2168741253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3955077427680).

2168741253120 is an abundant number, since it is smaller than the sum of its proper divisors (5741413602240).

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

2168741253120 is a wasteful number, since it uses less digits than its factorization.

2168741253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11070 (or 11035 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 2168741253120 in words is "two trillion, one hundred sixty-eight billion, seven hundred forty-one million, two hundred fifty-three thousand, one hundred twenty".