126561606720 has 224 divisors, whose sum is σ = 408137246208. Its totient is φ = 33222131712.

The previous prime is 126561606701. The next prime is 126561606727. The reversal of 126561606720 is 27606165621.

It is not an unprimeable number, because it can be changed into a prime (126561606727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43237897 + ... + 43240823.

Almost surely, 2^126561606720 is an apocalyptic number.

126561606720 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 126561606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204068623104).

126561606720 is an abundant number, since it is smaller than the sum of its proper divisors (281575639488).

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

126561606720 is a wasteful number, since it uses less digits than its factorization.

126561606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3637 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 126561606720 in words is "one hundred twenty-six billion, five hundred sixty-one million, six hundred six thousand, seven hundred twenty".