2133523555200 has 576 divisors, whose sum is σ = 8094889483200. Its totient is φ = 533202862080.

The previous prime is 2133523555171. The next prime is 2133523555211. The reversal of 2133523555200 is 25553253312.

2133523555200 is a `hidden beast` number, since 2 + 1 + 33 + 52 + 3 + 55 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117005284 + ... + 117023516.

It is an arithmetic number, because the mean of its divisors is an integer number (14053627575).

Almost surely, 2^{2133523555200} is an apocalyptic number.

2133523555200 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 2133523555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047444741600).

2133523555200 is an abundant number, since it is smaller than the sum of its proper divisors (5961365928000).

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

2133523555200 is a wasteful number, since it uses less digits than its factorization.

2133523555200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18519 (or 18499 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 2133523555200 in words is "two trillion, one hundred thirty-three billion, five hundred twenty-three million, five hundred fifty-five thousand, two hundred".