126576665696 has 96 divisors (see below), whose sum is σ = 270742445568. Its totient is φ = 57905141760.

The previous prime is 126576665681. The next prime is 126576665707. The reversal of 126576665696 is 696566675621.

It is a super-3 number, since 3×126576665696³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23277890 + ... + 23283326.

It is an arithmetic number, because the mean of its divisors is an integer number (2820233808).

Almost surely, 2^126576665696 is an apocalyptic number.

126576665696 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 126576665696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135371222784).

126576665696 is an abundant number, since it is smaller than the sum of its proper divisors (144165779872).

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

126576665696 is a wasteful number, since it uses less digits than its factorization.

126576665696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5944 (or 5936 counting only the distinct ones).

The product of its digits is 146966400, while the sum is 65.

The spelling of 126576665696 in words is "one hundred twenty-six billion, five hundred seventy-six million, six hundred sixty-five thousand, six hundred ninety-six".