126277608096 has 120 divisors (see below), whose sum is σ = 371827985760. Its totient is φ = 42041642112.

The previous prime is 126277608089. The next prime is 126277608097. The reversal of 126277608096 is 690806772621.

126277608096 is a `hidden beast` number, since 1 + 2 + 6 + 27 + 7 + 608 + 0 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (126277608097) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 2145655 + ... + 2203721.

It is an arithmetic number, because the mean of its divisors is an integer number (3098566548).

Almost surely, 2^126277608096 is an apocalyptic number.

126277608096 is a gapful number since it is divisible by the number (16) 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 126277608096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185913992880).

126277608096 is an abundant number, since it is smaller than the sum of its proper divisors (245550377664).

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

126277608096 is an equidigital number, since it uses as much as digits as its factorization.

126277608096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58928 (or 58911 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 126277608096 in words is "one hundred twenty-six billion, two hundred seventy-seven million, six hundred eight thousand, ninety-six".