2126917316160 has 2688 divisors, whose sum is σ = 10118384640000. Its totient is φ = 405580234752.

The previous prime is 2126917316159. The next prime is 2126917316171. The reversal of 2126917316160 is 616137196212.

2126917316160 is a `hidden beast` number, since 2 + 1 + 26 + 9 + 1 + 7 + 3 + 1 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5611918851 + ... + 5611919229.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280000).

Almost surely, 2^{2126917316160} is an apocalyptic number.

2126917316160 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 2126917316160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320000).

2126917316160 is an abundant number, since it is smaller than the sum of its proper divisors (7991467323840).

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

2126917316160 is a wasteful number, since it uses less digits than its factorization.

2126917316160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 2126917316160 in words is "two trillion, one hundred twenty-six billion, nine hundred seventeen million, three hundred sixteen thousand, one hundred sixty".