126778099968 has 648 divisors, whose sum is σ = 424803375360. Its totient is φ = 37653258240.

The previous prime is 126778099909. The next prime is 126778099991. The reversal of 126778099968 is 869990877621.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 126778099896 and 126778099905.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 325907518 + ... + 325907906.

Almost surely, 2^126778099968 is an apocalyptic number.

126778099968 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 126778099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212401687680).

126778099968 is an abundant number, since it is smaller than the sum of its proper divisors (298025275392).

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

126778099968 is an equidigital number, since it uses as much as digits as its factorization.

126778099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 126778099968 in words is "one hundred twenty-six billion, seven hundred seventy-eight million, ninety-nine thousand, nine hundred sixty-eight".