2127270164800 has 168 divisors, whose sum is σ = 5711380073280. Its totient is φ = 773402419200.

The previous prime is 2127270164791. The next prime is 2127270164821. The reversal of 2127270164800 is 84610727212.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133875256 + ... + 133891144.

It is an arithmetic number, because the mean of its divisors is an integer number (33996309960).

Almost surely, 2^{2127270164800} is an apocalyptic number.

2127270164800 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 2127270164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855690036640).

2127270164800 is an abundant number, since it is smaller than the sum of its proper divisors (3584109908480).

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

2127270164800 is a wasteful number, since it uses less digits than its factorization.

2127270164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23529 (or 23514 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 40.

The spelling of 2127270164800 in words is "two trillion, one hundred twenty-seven billion, two hundred seventy million, one hundred sixty-four thousand, eight hundred".