126664124045760 has 336 divisors, whose sum is σ = 499345568557056. Its totient is φ = 28868363606016.

The previous prime is 126664124045749. The next prime is 126664124045761. The reversal of 126664124045760 is 67540421466621.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 126664124045697 and 126664124045706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126664124045761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2057712 + ... + 16048751.

Almost surely, 2^{126664124045760} is an apocalyptic number.

126664124045760 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 126664124045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249672784278528).

126664124045760 is an abundant number, since it is smaller than the sum of its proper divisors (372681444511296).

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

126664124045760 is a wasteful number, since it uses less digits than its factorization.

126664124045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18106840 (or 18106827 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 126664124045760 in words is "one hundred twenty-six trillion, six hundred sixty-four billion, one hundred twenty-four million, forty-five thousand, seven hundred sixty".