126935936640 has 192 divisors, whose sum is σ = 438682383360. Its totient is φ = 33822038016.

The previous prime is 126935936609. The next prime is 126935936657. The reversal of 126935936640 is 46639539621.

126935936640 is a `hidden beast` number, since 1 + 2 + 6 + 9 + 3 + 593 + 6 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×126935936640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 7635217 + ... + 7651823.

It is an arithmetic number, because the mean of its divisors is an integer number (2284804080).

Almost surely, 2^126935936640 is an apocalyptic number.

126935936640 is a gapful number since it is divisible by the number (10) 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 126935936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219341191680).

126935936640 is an abundant number, since it is smaller than the sum of its proper divisors (311746446720).

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

126935936640 is a wasteful number, since it uses less digits than its factorization.

126935936640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17959 (or 17944 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 126935936640 in words is "one hundred twenty-six billion, nine hundred thirty-five million, nine hundred thirty-six thousand, six hundred forty".