126905500571760 has 360 divisors, whose sum is σ = 449815650494496. Its totient is φ = 33286680276480.

The previous prime is 126905500571741. The next prime is 126905500571777. The reversal of 126905500571760 is 67175005509621.

126905500571760 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 0 + 5 + 5 + 0 + 0 + 571 + 7 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×126905500571760² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 126905500571697 and 126905500571706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30035877 + ... + 33999483.

Almost surely, 2^{126905500571760} is an apocalyptic number.

126905500571760 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 126905500571760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224907825247248).

126905500571760 is an abundant number, since it is smaller than the sum of its proper divisors (322910149922736).

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

126905500571760 is an frugal number, since it uses more digits than its factorization.

126905500571760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3963705 (or 3963678 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 126905500571760 in words is "one hundred twenty-six trillion, nine hundred five billion, five hundred million, five hundred seventy-one thousand, seven hundred sixty".