126662518080 has 672 divisors, whose sum is σ = 541067304960. Its totient is φ = 26540421120.

The previous prime is 126662518039. The next prime is 126662518093. The reversal of 126662518080 is 80815266621.

126662518080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 11868907 + ... + 11879573.

It is an arithmetic number, because the mean of its divisors is an integer number (805159680).

Almost surely, 2^126662518080 is an apocalyptic number.

126662518080 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 126662518080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270533652480).

126662518080 is an abundant number, since it is smaller than the sum of its proper divisors (414404786880).

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

126662518080 is a wasteful number, since it uses less digits than its factorization.

126662518080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10747 (or 10734 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 126662518080 in words is "one hundred twenty-six billion, six hundred sixty-two million, five hundred eighteen thousand, eighty".