126228579680 has 96 divisors (see below), whose sum is σ = 341233772544. Its totient is φ = 43225468416.

The previous prime is 126228579679. The next prime is 126228579689. The reversal of 126228579680 is 86975822621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126228579689) 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 15 ways as a sum of consecutive naturals, for example, 853289 + ... + 990231.

It is an arithmetic number, because the mean of its divisors is an integer number (3554518464).

Almost surely, 2^126228579680 is an apocalyptic number.

126228579680 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 126228579680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170616886272).

126228579680 is an abundant number, since it is smaller than the sum of its proper divisors (215005192864).

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

126228579680 is a wasteful number, since it uses less digits than its factorization.

126228579680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137788 (or 137780 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 126228579680 in words is "one hundred twenty-six billion, two hundred twenty-eight million, five hundred seventy-nine thousand, six hundred eighty".