126580819270080 has 672 divisors, whose sum is σ = 483500894515200. Its totient is φ = 27958684336128.

The previous prime is 126580819270057. The next prime is 126580819270097. The reversal of 126580819270080 is 80072918085621.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126580819270080.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 174297156 + ... + 175021884.

Almost surely, 2^{126580819270080} is an apocalyptic number.

126580819270080 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 126580819270080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241750447257600).

126580819270080 is an abundant number, since it is smaller than the sum of its proper divisors (356920075245120).

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

126580819270080 is a wasteful number, since it uses less digits than its factorization.

126580819270080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724889 (or 724872 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 57.

The spelling of 126580819270080 in words is "one hundred twenty-six trillion, five hundred eighty billion, eight hundred nineteen million, two hundred seventy thousand, eighty".