2156186121600 has 576 divisors, whose sum is σ = 8271615939840. Its totient is φ = 492235591680.

The previous prime is 2156186121581. The next prime is 2156186121629. The reversal of 2156186121600 is 61216816512.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 462400869 + ... + 462405531.

It is an arithmetic number, because the mean of its divisors is an integer number (14360444340).

Almost surely, 2^{2156186121600} is an apocalyptic number.

2156186121600 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 2156186121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4135807969920).

2156186121600 is an abundant number, since it is smaller than the sum of its proper divisors (6115429818240).

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

2156186121600 is a wasteful number, since it uses less digits than its factorization.

2156186121600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5687 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The spelling of 2156186121600 in words is "two trillion, one hundred fifty-six billion, one hundred eighty-six million, one hundred twenty-one thousand, six hundred".