126604750465600 has 168 divisors, whose sum is σ = 339886673548128. Its totient is φ = 46032775372800.

The previous prime is 126604750465409. The next prime is 126604750465607. The reversal of 126604750465600 is 6564057406621.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (126604750465607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153641887 + ... + 154463713.

It is an arithmetic number, because the mean of its divisors is an integer number (2023134961596).

Almost surely, 2^{126604750465600} is an apocalyptic number.

126604750465600 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 126604750465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169943336774064).

126604750465600 is an abundant number, since it is smaller than the sum of its proper divisors (213281923082528).

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

126604750465600 is a wasteful number, since it uses less digits than its factorization.

126604750465600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830613 (or 830598 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 52.

The spelling of 126604750465600 in words is "one hundred twenty-six trillion, six hundred four billion, seven hundred fifty million, four hundred sixty-five thousand, six hundred".