2663128635552 has 288 divisors, whose sum is σ = 9483251057280. Its totient is φ = 688699791360.

The previous prime is 2663128635547. The next prime is 2663128635577. The reversal of 2663128635552 is 2555368213662.

2663128635552 is a `hidden beast` number, since 2 + 6 + 6 + 3 + 1 + 2 + 86 + 3 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4816098 + ... + 5340510.

It is an arithmetic number, because the mean of its divisors is an integer number (32927955060).

Almost surely, 2^{2663128635552} is an apocalyptic number.

2663128635552 is a gapful number since it is divisible by the number (22) 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 2663128635552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741625528640).

2663128635552 is an abundant number, since it is smaller than the sum of its proper divisors (6820122421728).

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

2663128635552 is a wasteful number, since it uses less digits than its factorization.

2663128635552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524676 (or 524665 counting only the distinct ones).

The product of its digits is 15552000, while the sum is 54.

The spelling of 2663128635552 in words is "two trillion, six hundred sixty-three billion, one hundred twenty-eight million, six hundred thirty-five thousand, five hundred fifty-two".