2127749800320 has 512 divisors, whose sum is σ = 8194753929600. Its totient is φ = 519587758080.

The previous prime is 2127749800289. The next prime is 2127749800321. The reversal of 2127749800320 is 230089477212.

2127749800320 is a `hidden beast` number, since 2 + 127 + 7 + 498 + 0 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127749800321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10771240 + ... + 10967000.

Almost surely, 2^{2127749800320} is an apocalyptic number.

2127749800320 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 2127749800320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4097376964800).

2127749800320 is an abundant number, since it is smaller than the sum of its proper divisors (6067004129280).

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

2127749800320 is a wasteful number, since it uses less digits than its factorization.

2127749800320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195843 (or 195825 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2127749800320 in words is "two trillion, one hundred twenty-seven billion, seven hundred forty-nine million, eight hundred thousand, three hundred twenty".