2125788344064 has 1440 divisors, whose sum is σ = 8433550540800. Its totient is φ = 515888455680.

The previous prime is 2125788344059. The next prime is 2125788344101. The reversal of 2125788344064 is 4604438875212.

2125788344064 is a `hidden beast` number, since 2 + 1 + 2 + 578 + 8 + 3 + 4 + 4 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2125788344064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2396604229 + ... + 2396605115.

It is an arithmetic number, because the mean of its divisors is an integer number (5856632320).

Almost surely, 2^{2125788344064} is an apocalyptic number.

2125788344064 is a gapful number since it is divisible by the number (24) 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 2125788344064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4216775270400).

2125788344064 is an abundant number, since it is smaller than the sum of its proper divisors (6307762196736).

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

2125788344064 is a wasteful number, since it uses less digits than its factorization.

2125788344064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2125788344064 in words is "two trillion, one hundred twenty-five billion, seven hundred eighty-eight million, three hundred forty-four thousand, sixty-four".