126025675776 has 1056 divisors, whose sum is σ = 515018649600. Its totient is φ = 28585820160.

The previous prime is 126025675739. The next prime is 126025675817. The reversal of 126025675776 is 677576520621.

126025675776 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 2 + 5 + 67 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175278745 + ... + 175279463.

Almost surely, 2^126025675776 is an apocalyptic number.

126025675776 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 126025675776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257509324800).

126025675776 is an abundant number, since it is smaller than the sum of its proper divisors (388992973824).

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

126025675776 is a wasteful number, since it uses less digits than its factorization.

126025675776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 126025675776 in words is "one hundred twenty-six billion, twenty-five million, six hundred seventy-five thousand, seven hundred seventy-six".