126805746550392 has 576 divisors, whose sum is σ = 439191592519680. Its totient is φ = 33422633434368.

The previous prime is 126805746550331. The next prime is 126805746550421. The reversal of 126805746550392 is 293055647508621.

126805746550392 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 0 + 5 + 7 + 46 + 550 + 39 + 2 = 666.

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

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8707384503 + ... + 8707399065.

It is an arithmetic number, because the mean of its divisors is an integer number (762485403680).

It is a 3-persistent number, because k⋅126805746550392 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2^{126805746550392} is an apocalyptic number.

126805746550392 is a gapful number since it is divisible by the number (12) 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 126805746550392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219595796259840).

126805746550392 is an abundant number, since it is smaller than the sum of its proper divisors (312385845969288).

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

126805746550392 is a wasteful number, since it uses less digits than its factorization.

126805746550392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436 (or 16411 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 126805746550392 in words is "one hundred twenty-six trillion, eight hundred five billion, seven hundred forty-six million, five hundred fifty thousand, three hundred ninety-two".