126775520176760 has 256 divisors, whose sum is σ = 366871140034560. Its totient is φ = 38321704396800.

The previous prime is 126775520176759. The next prime is 126775520176813. The reversal of 126775520176760 is 67671025577621.

It is a junction number, because it is equal to n+sod(n) for n = 126775520176693 and 126775520176702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 56072210 + ... + 58289310.

It is an arithmetic number, because the mean of its divisors is an integer number (1433090390760).

Almost surely, 2^{126775520176760} is an apocalyptic number.

126775520176760 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 126775520176760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183435570017280).

126775520176760 is an abundant number, since it is smaller than the sum of its proper divisors (240095619857800).

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

126775520176760 is a wasteful number, since it uses less digits than its factorization.

126775520176760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2217838 (or 2217834 counting only the distinct ones).

The product of its (nonzero) digits is 51861600, while the sum is 62.

The spelling of 126775520176760 in words is "one hundred twenty-six trillion, seven hundred seventy-five billion, five hundred twenty million, one hundred seventy-six thousand, seven hundred sixty".