2129131388160 has 1728 divisors, whose sum is σ = 9167082946560. Its totient is φ = 458308730880.

The previous prime is 2129131388129. The next prime is 2129131388177. The reversal of 2129131388160 is 618831319212.

2129131388160 is a `hidden beast` number, since 2 + 12 + 91 + 313 + 88 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16252911295 + ... + 16252911425.

Almost surely, 2^{2129131388160} is an apocalyptic number.

2129131388160 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 2129131388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583541473280).

2129131388160 is an abundant number, since it is smaller than the sum of its proper divisors (7037951558400).

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

2129131388160 is a wasteful number, since it uses less digits than its factorization.

2129131388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 2129131388160 in words is "two trillion, one hundred twenty-nine billion, one hundred thirty-one million, three hundred eighty-eight thousand, one hundred sixty".