2168953459200 has 2520 divisors, whose sum is σ = 9459898723044. Its totient is φ = 490497638400.

The previous prime is 2168953459177. The next prime is 2168953459249. The reversal of 2168953459200 is 29543598612.

2168953459200 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 95 + 345 + 9 + 200 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 436297238784 + 1732656220416 = 660528^2 + 1316304^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 19194278344 + ... + 19194278456.

Almost surely, 2^{2168953459200} is an apocalyptic number.

2168953459200 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 2168953459200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4729949361522).

2168953459200 is an abundant number, since it is smaller than the sum of its proper divisors (7290945263844).

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

2168953459200 is a wasteful number, since it uses less digits than its factorization.

2168953459200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2168953459200 in words is "two trillion, one hundred sixty-eight billion, nine hundred fifty-three million, four hundred fifty-nine thousand, two hundred".