126159317887680 has 672 divisors, whose sum is σ = 550180203655680. Its totient is φ = 25770599792640.

The previous prime is 126159317887679. The next prime is 126159317887699. The reversal of 126159317887680 is 86788713951621.

126159317887680 is a `hidden beast` number, since 1 + 2 + 6 + 159 + 317 + 8 + 87 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 126159317887599 and 126159317887608.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8262652 + ... + 17905028.

Almost surely, 2^{126159317887680} is an apocalyptic number.

126159317887680 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 126159317887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275090101827840).

126159317887680 is an abundant number, since it is smaller than the sum of its proper divisors (424020885768000).

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

126159317887680 is a wasteful number, since it uses less digits than its factorization.

126159317887680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9642477 (or 9642464 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 126159317887680 in words is "one hundred twenty-six trillion, one hundred fifty-nine billion, three hundred seventeen million, eight hundred eighty-seven thousand, six hundred eighty".