2156536627200 has 576 divisors, whose sum is σ = 7755843906720. Its totient is φ = 572789882880.

The previous prime is 2156536627199. The next prime is 2156536627237. The reversal of 2156536627200 is 27266356512.

2156536627200 is a `hidden beast` number, since 2 + 1 + 5 + 65 + 366 + 27 + 200 = 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2705817202 + ... + 2705817998.

Almost surely, 2^{2156536627200} is an apocalyptic number.

2156536627200 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 2156536627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877921953360).

2156536627200 is an abundant number, since it is smaller than the sum of its proper divisors (5599307279520).

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

2156536627200 is an equidigital number, since it uses as much as digits as its factorization.

2156536627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2156536627200 in words is "two trillion, one hundred fifty-six billion, five hundred thirty-six million, six hundred twenty-seven thousand, two hundred".