2656188747072 has 1344 divisors, whose sum is σ = 9713649254400. Its totient is φ = 677499863040.

The previous prime is 2656188747067. The next prime is 2656188747139. The reversal of 2656188747072 is 2707478816562.

It is a happy number.

2656188747072 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 18 + 87 + 470 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11113760329 + ... + 11113760567.

It is an arithmetic number, because the mean of its divisors is an integer number (7227417600).

Almost surely, 2^{2656188747072} 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 2656188747072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4856824627200).

2656188747072 is an abundant number, since it is smaller than the sum of its proper divisors (7057460507328).

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

2656188747072 is a wasteful number, since it uses less digits than its factorization.

2656188747072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 2656188747072 in words is "two trillion, six hundred fifty-six billion, one hundred eighty-eight million, seven hundred forty-seven thousand, seventy-two".