2156263441200 has 720 divisors, whose sum is σ = 8792897218560. Its totient is φ = 483867648000.

The previous prime is 2156263441193. The next prime is 2156263441237. The reversal of 2156263441200 is 21443626512.

2156263441200 is a `hidden beast` number, since 2 + 1 + 5 + 6 + 2 + 6 + 3 + 441 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 28196616 + ... + 28272984.

It is an arithmetic number, because the mean of its divisors is an integer number (12212357248).

Almost surely, 2^{2156263441200} is an apocalyptic number.

2156263441200 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 2156263441200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4396448609280).

2156263441200 is an abundant number, since it is smaller than the sum of its proper divisors (6636633777360).

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

2156263441200 is a wasteful number, since it uses less digits than its factorization.

2156263441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76458 (or 76444 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 2156263441200 in words is "two trillion, one hundred fifty-six billion, two hundred sixty-three million, four hundred forty-one thousand, two hundred".