2178083611200 has 672 divisors, whose sum is σ = 8265320414208. Its totient is φ = 491867136000.

The previous prime is 2178083611183. The next prime is 2178083611213. The reversal of 2178083611200 is 21163808712.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2052858670 + ... + 2052859730.

Almost surely, 2^{2178083611200} is an apocalyptic number.

2178083611200 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 2178083611200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132660207104).

2178083611200 is an abundant number, since it is smaller than the sum of its proper divisors (6087236803008).

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

2178083611200 is a wasteful number, since it uses less digits than its factorization.

2178083611200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 2178083611200 in words is "two trillion, one hundred seventy-eight billion, eighty-three million, six hundred eleven thousand, two hundred".