126105769278720 has 5184 divisors, whose sum is σ = 618908197759488. Its totient is φ = 23964313190400.

The previous prime is 126105769278691. The next prime is 126105769278743. The reversal of 126105769278720 is 27872967501621.

126105769278720 is a `hidden beast` number, since 1 + 2 + 6 + 10 + 576 + 9 + 27 + 8 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (5184).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 165710603140 + ... + 165710603900.

It is an arithmetic number, because the mean of its divisors is an integer number (119388155432).

Almost surely, 2^{126105769278720} is an apocalyptic number.

126105769278720 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 126105769278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309454098879744).

126105769278720 is an abundant number, since it is smaller than the sum of its proper divisors (492802428480768).

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

126105769278720 is a wasteful number, since it uses less digits than its factorization.

126105769278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 126105769278720 in words is "one hundred twenty-six trillion, one hundred five billion, seven hundred sixty-nine million, two hundred seventy-eight thousand, seven hundred twenty".