126843790752 has 384 divisors, whose sum is σ = 467157196800. Its totient is φ = 32625635328.

The previous prime is 126843790747. The next prime is 126843790793. The reversal of 126843790752 is 257097348621.

It is a happy number.

126843790752 is a `hidden beast` number, since 1 + 268 + 4 + 379 + 0 + 7 + 5 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2337949 + ... + 2391587.

It is an arithmetic number, because the mean of its divisors is an integer number (1216555200).

It is a 1-persistent number, because it is pandigital, but 2⋅126843790752 = 253687581504 is not.

Almost surely, 2^126843790752 is an apocalyptic number.

126843790752 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 126843790752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233578598400).

126843790752 is an abundant number, since it is smaller than the sum of its proper divisors (340313406048).

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

126843790752 is a wasteful number, since it uses less digits than its factorization.

126843790752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53705 (or 53691 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 126843790752 in words is "one hundred twenty-six billion, eight hundred forty-three million, seven hundred ninety thousand, seven hundred fifty-two".