2168257291200 has 6048 divisors, whose sum is σ = 11827251936000. Its totient is φ = 380414361600.

The previous prime is 2168257291127. The next prime is 2168257291217. The reversal of 2168257291200 is 21927528612.

2168257291200 is a `hidden beast` number, since 2 + 1 + 68 + 2 + 572 + 9 + 12 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 74767492786 + ... + 74767492814.

Almost surely, 2^{2168257291200} is an apocalyptic number.

2168257291200 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 2168257291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5913625968000).

2168257291200 is an abundant number, since it is smaller than the sum of its proper divisors (9658994644800).

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

2168257291200 is a wasteful number, since it uses less digits than its factorization.

2168257291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2168257291200 in words is "two trillion, one hundred sixty-eight billion, two hundred fifty-seven million, two hundred ninety-one thousand, two hundred".