12628813092480 has 1024 divisors, whose sum is σ = 48935892096000. Its totient is φ = 3059381698560.

The previous prime is 12628813092451. The next prime is 12628813092487. The reversal of 12628813092480 is 8429031882621.

12628813092480 is a `hidden beast` number, since 1 + 2 + 6 + 28 + 8 + 130 + 9 + 2 + 480 = 666.

It is a super-2 number, since 2×12628813092480² (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (12628813092487) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4658358325 + ... + 4658361035.

It is an arithmetic number, because the mean of its divisors is an integer number (47788957125).

Almost surely, 2^{12628813092480} is an apocalyptic number.

12628813092480 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 12628813092480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24467946048000).

12628813092480 is an abundant number, since it is smaller than the sum of its proper divisors (36307079003520).

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

12628813092480 is a wasteful number, since it uses less digits than its factorization.

12628813092480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3074 (or 3056 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 12628813092480 in words is "twelve trillion, six hundred twenty-eight billion, eight hundred thirteen million, ninety-two thousand, four hundred eighty".