126641180160 has 1120 divisors, whose sum is σ = 515238451200. Its totient is φ = 29561241600.

The previous prime is 126641180143. The next prime is 126641180207. The reversal of 126641180160 is 61081146621.

126641180160 is a `hidden beast` number, since 1 + 2 + 6 + 6 + 411 + 80 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 636387741 + ... + 636387939.

Almost surely, 2^126641180160 is an apocalyptic number.

126641180160 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 126641180160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257619225600).

126641180160 is an abundant number, since it is smaller than the sum of its proper divisors (388597271040).

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

126641180160 is an equidigital number, since it uses as much as digits as its factorization.

126641180160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 126641180160 in words is "one hundred twenty-six billion, six hundred forty-one million, one hundred eighty thousand, one hundred sixty".