126965119616 has 128 divisors (see below), whose sum is σ = 279812568960. Its totient is φ = 57078743040.

The previous prime is 126965119609. The next prime is 126965119649. The reversal of 126965119616 is 616911569621.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×126965119616² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76622660 + ... + 76624316.

It is an arithmetic number, because the mean of its divisors is an integer number (2186035695).

Almost surely, 2^126965119616 is an apocalyptic number.

126965119616 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 126965119616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139906284480).

126965119616 is an abundant number, since it is smaller than the sum of its proper divisors (152847449344).

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

126965119616 is a wasteful number, since it uses less digits than its factorization.

126965119616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3230 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 53.

The spelling of 126965119616 in words is "one hundred twenty-six billion, nine hundred sixty-five million, one hundred nineteen thousand, six hundred sixteen".