2168960454360 has 640 divisors, whose sum is σ = 8966368794240. Its totient is φ = 458945740800.

The previous prime is 2168960454359. The next prime is 2168960454371. The reversal of 2168960454360 is 634540698612.

2168960454360 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 96 + 0 + 4 + 543 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2168960454297 and 2168960454306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 23473050 + ... + 23565270.

It is an arithmetic number, because the mean of its divisors is an integer number (14009951241).

Almost surely, 2^{2168960454360} is an apocalyptic number.

2168960454360 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 2168960454360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483184397120).

2168960454360 is an abundant number, since it is smaller than the sum of its proper divisors (6797408339880).

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

2168960454360 is a wasteful number, since it uses less digits than its factorization.

2168960454360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92329 (or 92316 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2168960454360 in words is "two trillion, one hundred sixty-eight billion, nine hundred sixty million, four hundred fifty-four thousand, three hundred sixty".