2156263999200 has 1728 divisors, whose sum is σ = 8539985405952. Its totient is φ = 529862860800.

The previous prime is 2156263999193. The next prime is 2156263999217. The reversal of 2156263999200 is 29993626512.

It is a happy number.

2156263999200 is a `hidden beast` number, since 2 + 1 + 5 + 626 + 3 + 9 + 9 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13734165522 + ... + 13734165678.

It is an arithmetic number, because the mean of its divisors is an integer number (4942121184).

Almost surely, 2^{2156263999200} is an apocalyptic number.

2156263999200 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 2156263999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4269992702976).

2156263999200 is an abundant number, since it is smaller than the sum of its proper divisors (6383721406752).

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

2156263999200 is a wasteful number, since it uses less digits than its factorization.

2156263999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 2156263999200 in words is "two trillion, one hundred fifty-six billion, two hundred sixty-three million, nine hundred ninety-nine thousand, two hundred".