2125536461568 has 216 divisors, whose sum is σ = 6601438203360. Its totient is φ = 653855293440.

The previous prime is 2125536461563. The next prime is 2125536461597. The reversal of 2125536461568 is 8651646355212.

2125536461568 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 5 + 36 + 46 + 1 + 568 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2125536461563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230056693 + ... + 230065931.

Almost surely, 2^{2125536461568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2125536461568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3300719101680).

2125536461568 is an abundant number, since it is smaller than the sum of its proper divisors (4475901741792).

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

2125536461568 is a wasteful number, since it uses less digits than its factorization.

2125536461568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16955 (or 16938 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 2125536461568 in words is "two trillion, one hundred twenty-five billion, five hundred thirty-six million, four hundred sixty-one thousand, five hundred sixty-eight".