126507979342080 has 432 divisors, whose sum is σ = 500817611758464. Its totient is φ = 28882352701440.

The previous prime is 126507979342079. The next prime is 126507979342093. The reversal of 126507979342080 is 80243979705621.

126507979342080 is a `hidden beast` number, since 1 + 2 + 6 + 50 + 79 + 7 + 93 + 420 + 8 + 0 = 666.

It is a super-2 number, since 2×126507979342080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 126507979341999 and 126507979342017.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68193195 + ... + 70023765.

It is a 1-persistent number, because it is pandigital, but 2⋅126507979342080 = 253015958684160 is not.

Almost surely, 2^{126507979342080} is an apocalyptic number.

126507979342080 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 126507979342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250408805879232).

126507979342080 is an abundant number, since it is smaller than the sum of its proper divisors (374309632416384).

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

126507979342080 is a wasteful number, since it uses less digits than its factorization.

126507979342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831462 (or 1831445 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 126507979342080 in words is "one hundred twenty-six trillion, five hundred seven billion, nine hundred seventy-nine million, three hundred forty-two thousand, eighty".