126069576075264 has 768 divisors, whose sum is σ = 381665568211200. Its totient is φ = 36804564615168.

The previous prime is 126069576075239. The next prime is 126069576075269. The reversal of 126069576075264 is 462570675960621.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 126069576075195 and 126069576075204.

It is not an unprimeable number, because it can be changed into a prime (126069576075269) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 11991774072 + ... + 11991784584.

It is an arithmetic number, because the mean of its divisors is an integer number (496960375275).

Almost surely, 2^{126069576075264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126069576075264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190832784105600).

126069576075264 is an abundant number, since it is smaller than the sum of its proper divisors (255595992135936).

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

126069576075264 is a wasteful number, since it uses less digits than its factorization.

126069576075264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728 (or 10708 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 66.

The spelling of 126069576075264 in words is "one hundred twenty-six trillion, sixty-nine billion, five hundred seventy-six million, seventy-five thousand, two hundred sixty-four".