126558815013960 has 512 divisors, whose sum is σ = 460651887820800. Its totient is φ = 27189937336320.

The previous prime is 126558815013949. The next prime is 126558815013991. The reversal of 126558815013960 is 69310518855621.

126558815013960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×126558815013960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 126558815013894 and 126558815013903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1224430602 + ... + 1224533958.

It is an arithmetic number, because the mean of its divisors is an integer number (899710718400).

Almost surely, 2^{126558815013960} is an apocalyptic number.

126558815013960 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 126558815013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230325943910400).

126558815013960 is an abundant number, since it is smaller than the sum of its proper divisors (334093072806840).

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

126558815013960 is a wasteful number, since it uses less digits than its factorization.

126558815013960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104501 (or 104497 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 60.

The spelling of 126558815013960 in words is "one hundred twenty-six trillion, five hundred fifty-eight billion, eight hundred fifteen million, thirteen thousand, nine hundred sixty".