126575117856 has 480 divisors, whose sum is σ = 440055177408. Its totient is φ = 35254517760.

The previous prime is 126575117849. The next prime is 126575117971. The reversal of 126575117856 is 658711575621.

126575117856 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 7 + 511 + 78 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 20839236 + ... + 20845308.

Almost surely, 2^126575117856 is an apocalyptic number.

126575117856 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 126575117856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220027588704).

126575117856 is an abundant number, since it is smaller than the sum of its proper divisors (313480059552).

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

126575117856 is a wasteful number, since it uses less digits than its factorization.

126575117856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6166 (or 6149 counting only the distinct ones).

The product of its digits is 3528000, while the sum is 54.

The spelling of 126575117856 in words is "one hundred twenty-six billion, five hundred seventy-five million, one hundred seventeen thousand, eight hundred fifty-six".