2168506363520 has 256 divisors, whose sum is σ = 5988003840000. Its totient is φ = 735554359296.

The previous prime is 2168506363489. The next prime is 2168506363631. The reversal of 2168506363520 is 253636058612.

2168506363520 = T₁₅ + T₁₆ + ... + T₂₃₅₁₉.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723074981 + ... + 723077979.

It is an arithmetic number, because the mean of its divisors is an integer number (23390640000).

Almost surely, 2^{2168506363520} is an apocalyptic number.

2168506363520 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 2168506363520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994001920000).

2168506363520 is an abundant number, since it is smaller than the sum of its proper divisors (3819497476480).

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

2168506363520 is a wasteful number, since it uses less digits than its factorization.

2168506363520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4695 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 2168506363520 in words is "two trillion, one hundred sixty-eight billion, five hundred six million, three hundred sixty-three thousand, five hundred twenty".