126586736928 has 48 divisors (see below), whose sum is σ = 369211318560. Its totient is φ = 42195578688.

The previous prime is 126586736923. The next prime is 126586736951. The reversal of 126586736928 is 829637685621.

It is a happy number.

126586736928 is a `hidden beast` number, since 1 + 26 + 586 + 7 + 3 + 6 + 9 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (126586736923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73255350 + ... + 73257077.

It is an arithmetic number, because the mean of its divisors is an integer number (7691902470).

Almost surely, 2^126586736928 is an apocalyptic number.

126586736928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

126586736928 is an abundant number, since it is smaller than the sum of its proper divisors (242624581632).

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

126586736928 is a wasteful number, since it uses less digits than its factorization.

126586736928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146512446 (or 146512432 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 126586736928 in words is "one hundred twenty-six billion, five hundred eighty-six million, seven hundred thirty-six thousand, nine hundred twenty-eight".