13055006622528 has 1008 divisors, whose sum is σ = 44455442443776. Its totient is φ = 3636440801280.

The previous prime is 13055006622523. The next prime is 13055006622529. The reversal of 13055006622528 is 82522660055031.

13055006622528 is a `hidden beast` number, since 1 + 30 + 5 + 500 + 6 + 62 + 2 + 52 + 8 = 666.

It is a super-2 number, since 2×13055006622528² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13055006622523) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6955250326 + ... + 6955252202.

It is an arithmetic number, because the mean of its divisors is an integer number (44102621472).

Almost surely, 2^{13055006622528} is an apocalyptic number.

13055006622528 is a gapful number since it is divisible by the number (18) 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 13055006622528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22227721221888).

13055006622528 is an abundant number, since it is smaller than the sum of its proper divisors (31400435821248).

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

13055006622528 is a wasteful number, since it uses less digits than its factorization.

13055006622528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2060 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 13055006622528 its reverse (82522660055031), we get a palindrome (95577666677559).

The spelling of 13055006622528 in words is "thirteen trillion, fifty-five billion, six million, six hundred twenty-two thousand, five hundred twenty-eight".