2625867523968 has 256 divisors, whose sum is σ = 7914216360960. Its totient is φ = 765323919360.

The previous prime is 2625867523957. The next prime is 2625867523973. The reversal of 2625867523968 is 8693257685262.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11715028 + ... + 11937068.

It is an arithmetic number, because the mean of its divisors is an integer number (30914907660).

Almost surely, 2^{2625867523968} 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 2625867523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957108180480).

2625867523968 is an abundant number, since it is smaller than the sum of its proper divisors (5288348836992).

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

2625867523968 is a wasteful number, since it uses less digits than its factorization.

2625867523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222197 (or 222185 counting only the distinct ones).

The product of its digits is 522547200, while the sum is 69.

The spelling of 2625867523968 in words is "two trillion, six hundred twenty-five billion, eight hundred sixty-seven million, five hundred twenty-three thousand, nine hundred sixty-eight".