2164955788800 has 1080 divisors, whose sum is σ = 9044047295712. Its totient is φ = 493129728000.

The previous prime is 2164955788799. The next prime is 2164955788819. The reversal of 2164955788800 is 88875594612.

2164955788800 is a `hidden beast` number, since 2 + 16 + 49 + 5 + 578 + 8 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2376460345 + ... + 2376461255.

Almost surely, 2^{2164955788800} is an apocalyptic number.

2164955788800 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 2164955788800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4522023647856).

2164955788800 is an abundant number, since it is smaller than the sum of its proper divisors (6879091506912).

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

2164955788800 is a wasteful number, since it uses less digits than its factorization.

2164955788800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 2164955788800 in words is "two trillion, one hundred sixty-four billion, nine hundred fifty-five million, seven hundred eighty-eight thousand, eight hundred".