12628955520 has 192 divisors, whose sum is σ = 44624408400. Its totient is φ = 3289337856.

The previous prime is 12628955513. The next prime is 12628955527. The reversal of 12628955520 is 2555982621.

12628955520 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 95 + 552 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12628955513) and next prime (12628955527).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×12628955520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12628955527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222186 + ... + 273174.

Almost surely, 2^12628955520 is an apocalyptic number.

12628955520 is a gapful number since it is divisible by the number (10) 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 12628955520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22312204200).

12628955520 is an abundant number, since it is smaller than the sum of its proper divisors (31995452880).

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

12628955520 is a wasteful number, since it uses less digits than its factorization.

12628955520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51057 (or 51042 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 12628955520 in words is "twelve billion, six hundred twenty-eight million, nine hundred fifty-five thousand, five hundred twenty".