126586047387880 has 256 divisors, whose sum is σ = 318816895795200. Its totient is φ = 45007001948160.

The previous prime is 126586047387847. The next prime is 126586047387913. The reversal of 126586047387880 is 88783740685621.

It is an interprime number because it is at equal distance from previous prime (126586047387847) and next prime (126586047387913).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1054129681 + ... + 1054249759.

It is an arithmetic number, because the mean of its divisors is an integer number (1245378499200).

Almost surely, 2^{126586047387880} is an apocalyptic number.

126586047387880 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 126586047387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159408447897600).

126586047387880 is an abundant number, since it is smaller than the sum of its proper divisors (192230848407320).

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

126586047387880 is a wasteful number, since it uses less digits than its factorization.

126586047387880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121344 (or 121340 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 73.

The spelling of 126586047387880 in words is "one hundred twenty-six trillion, five hundred eighty-six billion, forty-seven million, three hundred eighty-seven thousand, eight hundred eighty".