2656136396160 has 640 divisors, whose sum is σ = 10316604735360. Its totient is φ = 647328153600.

The previous prime is 2656136396117. The next prime is 2656136396201. The reversal of 2656136396160 is 616936316562.

It is a happy number.

2656136396160 is a `hidden beast` number, since 2 + 6 + 5 + 6 + 13 + 6 + 3 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2656136396097 and 2656136396106.

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 79 ways as a sum of consecutive naturals, for example, 68046409 + ... + 68085431.

It is an arithmetic number, because the mean of its divisors is an integer number (16119694899).

Almost surely, 2^{2656136396160} is an apocalyptic number.

2656136396160 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 2656136396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158302367680).

2656136396160 is an abundant number, since it is smaller than the sum of its proper divisors (7660468339200).

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

2656136396160 is a wasteful number, since it uses less digits than its factorization.

2656136396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39168 (or 39147 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2656136396160 in words is "two trillion, six hundred fifty-six billion, one hundred thirty-six million, three hundred ninety-six thousand, one hundred sixty".