126517243776 has 768 divisors, whose sum is σ = 453212928000. Its totient is φ = 30516203520.

The previous prime is 126517243709. The next prime is 126517243777. The reversal of 126517243776 is 677342715621.

It is a super-2 number, since 2×126517243776² (a number of 23 digits) contains 22 as substring.

Its product of digits (2963520) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126517243777) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 364602835 + ... + 364603181.

It is an arithmetic number, because the mean of its divisors is an integer number (590121000).

Almost surely, 2^126517243776 is an apocalyptic number.

126517243776 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 126517243776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226606464000).

126517243776 is an abundant number, since it is smaller than the sum of its proper divisors (326695684224).

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

126517243776 is a wasteful number, since it uses less digits than its factorization.

126517243776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 448 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The spelling of 126517243776 in words is "one hundred twenty-six billion, five hundred seventeen million, two hundred forty-three thousand, seven hundred seventy-six".