2125158184800 has 1080 divisors, whose sum is σ = 9096668541576. Its totient is φ = 481370480640.

The previous prime is 2125158184771. The next prime is 2125158184811. The reversal of 2125158184800 is 84818515212.

2125158184800 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 158 + 18 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 179 ways as a sum of consecutive naturals, for example, 358794639 + ... + 358800561.

Almost surely, 2^{2125158184800} is an apocalyptic number.

2125158184800 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 2125158184800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548334270788).

2125158184800 is an abundant number, since it is smaller than the sum of its proper divisors (6971510356776).

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

2125158184800 is a wasteful number, since it uses less digits than its factorization.

2125158184800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6053 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The spelling of 2125158184800 in words is "two trillion, one hundred twenty-five billion, one hundred fifty-eight million, one hundred eighty-four thousand, eight hundred".