126817145593600 has 864 divisors, whose sum is σ = 393484162401792. Its totient is φ = 39312138240000.

The previous prime is 126817145593507. The next prime is 126817145593609. The reversal of 126817145593600 is 6395541718621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126817145593609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124208761090 + ... + 124208762110.

It is a 2-persistent number, because it is pandigital, and so is 2⋅126817145593600 = 253634291187200, but 3⋅126817145593600 = 380451436780800 is not.

Almost surely, 2^{126817145593600} is an apocalyptic number.

126817145593600 is a gapful number since it is divisible by the number (10) 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 126817145593600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196742081200896).

126817145593600 is an abundant number, since it is smaller than the sum of its proper divisors (266667016808192).

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

126817145593600 is a wasteful number, since it uses less digits than its factorization.

126817145593600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2193 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 58.

The spelling of 126817145593600 in words is "one hundred twenty-six trillion, eight hundred seventeen billion, one hundred forty-five million, five hundred ninety-three thousand, six hundred".