126563254272 has 720 divisors, whose sum is σ = 468938175552. Its totient is φ = 33124515840.

The previous prime is 126563254231. The next prime is 126563254303. The reversal of 126563254272 is 272452365621.

126563254272 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 6 + 32 + 542 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 966131647 + ... + 966131777.

Almost surely, 2^126563254272 is an apocalyptic number.

126563254272 is a gapful number since it is divisible by the number (12) 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 126563254272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234469087776).

126563254272 is an abundant number, since it is smaller than the sum of its proper divisors (342374921280).

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

126563254272 is an frugal number, since it uses more digits than its factorization.

126563254272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 126563254272 in words is "one hundred twenty-six billion, five hundred sixty-three million, two hundred fifty-four thousand, two hundred seventy-two".