126628191066960 has 640 divisors, whose sum is σ = 490904771512320. Its totient is φ = 29983813009920.

The previous prime is 126628191066947. The next prime is 126628191066967. The reversal of 126628191066960 is 69660191826621.

126628191066960 is a `hidden beast` number, since 1 + 266 + 281 + 9 + 1 + 0 + 6 + 6 + 96 + 0 = 666.

126628191066960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126628191066967) 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, 123111127 + ... + 124135433.

It is an arithmetic number, because the mean of its divisors is an integer number (767038705488).

Almost surely, 2^{126628191066960} is an apocalyptic number.

126628191066960 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 126628191066960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245452385756160).

126628191066960 is an abundant number, since it is smaller than the sum of its proper divisors (364276580445360).

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

126628191066960 is a wasteful number, since it uses less digits than its factorization.

126628191066960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024405 (or 1024371 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 126628191066960 in words is "one hundred twenty-six trillion, six hundred twenty-eight billion, one hundred ninety-one million, sixty-six thousand, nine hundred sixty".