126322665560 has 256 divisors, whose sum is σ = 357422284800. Its totient is φ = 39114196992.

The previous prime is 126322665541. The next prime is 126322665617. The reversal of 126322665560 is 65566223621.

It is a Cunningham number, because it is equal to 355419²-1.

It is a super-2 number, since 2×126322665560² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 92407997 + ... + 92409363.

It is an arithmetic number, because the mean of its divisors is an integer number (1396180800).

Almost surely, 2^126322665560 is an apocalyptic number.

126322665560 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 126322665560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178711142400).

126322665560 is an abundant number, since it is smaller than the sum of its proper divisors (231099619240).

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

126322665560 is a wasteful number, since it uses less digits than its factorization.

126322665560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 126322665560 in words is "one hundred twenty-six billion, three hundred twenty-two million, six hundred sixty-five thousand, five hundred sixty".