12628958005800 has 288 divisors, whose sum is σ = 44054464708800. Its totient is φ = 3362255930880.

The previous prime is 12628958005693. The next prime is 12628958005889. The reversal of 12628958005800 is 850085982621.

It is a happy number.

12628958005800 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 8 + 9 + 58 + 0 + 0 + 580 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29775621 + ... + 30196779.

It is an arithmetic number, because the mean of its divisors is an integer number (152966891350).

Almost surely, 2^{12628958005800} is an apocalyptic number.

12628958005800 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 12628958005800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22027232354400).

12628958005800 is an abundant number, since it is smaller than the sum of its proper divisors (31425506703000).

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

12628958005800 is a wasteful number, since it uses less digits than its factorization.

12628958005800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421807 (or 421786 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 12628958005800 in words is "twelve trillion, six hundred twenty-eight billion, nine hundred fifty-eight million, five thousand, eight hundred".