126195577056 has 72 divisors (see below), whose sum is σ = 360193133664. Its totient is φ = 41909944320.

The previous prime is 126195577049. The next prime is 126195577069. The reversal of 126195577056 is 650775591621.

126195577056 is a `hidden beast` number, since 1 + 2 + 6 + 19 + 5 + 577 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 126195576993 and 126195577011.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 730401 + ... + 886496.

It is an arithmetic number, because the mean of its divisors is an integer number (5002682412).

Almost surely, 2^126195577056 is an apocalyptic number.

126195577056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

126195577056 is an abundant number, since it is smaller than the sum of its proper divisors (233997556608).

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

126195577056 is a wasteful number, since it uses less digits than its factorization.

126195577056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617184 (or 1617173 counting only the distinct ones).

The product of its (nonzero) digits is 3969000, while the sum is 54.

The spelling of 126195577056 in words is "one hundred twenty-six billion, one hundred ninety-five million, five hundred seventy-seven thousand, fifty-six".