126779830128 has 450 divisors, whose sum is σ = 430669950984. Its totient is φ = 36150795072.

The previous prime is 126779830117. The next prime is 126779830159. The reversal of 126779830128 is 821038977621.

It is a happy number.

126779830128 is a `hidden beast` number, since 1 + 267 + 79 + 8 + 301 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 252047125 + ... + 252047627.

Almost surely, 2^126779830128 is an apocalyptic number.

126779830128 is a gapful number since it is divisible by the number (18) 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 126779830128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215334975492).

126779830128 is an abundant number, since it is smaller than the sum of its proper divisors (303890120856).

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

126779830128 is an frugal number, since it uses more digits than its factorization.

126779830128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 126779830128 in words is "one hundred twenty-six billion, seven hundred seventy-nine million, eight hundred thirty thousand, one hundred twenty-eight".