2133563216880 has 80 divisors (see below), whose sum is σ = 7003107513504. Its totient is φ = 535482531840.

The previous prime is 2133563216831. The next prime is 2133563216887. The reversal of 2133563216880 is 886123653312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133563216887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261462001 + ... + 261470160.

Almost surely, 2^{2133563216880} is an apocalyptic number.

2133563216880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133563216880 is an abundant number, since it is smaller than the sum of its proper divisors (4869544296624).

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

2133563216880 is a wasteful number, since it uses less digits than its factorization.

2133563216880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522932194 (or 522932188 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 2133563216880 in words is "two trillion, one hundred thirty-three billion, five hundred sixty-three million, two hundred sixteen thousand, eight hundred eighty".