126270892720896 has 576 divisors, whose sum is σ = 446129549107200. Its totient is φ = 31371633807360.

The previous prime is 126270892720813. The next prime is 126270892720913. The reversal of 126270892720896 is 698027298072621.

126270892720896 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a self number, because there is not a number n which added to its sum of digits gives 126270892720896.

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, 65698951 + ... + 67593593.

It is an arithmetic number, because the mean of its divisors is an integer number (774530467200).

Almost surely, 2^{126270892720896} is an apocalyptic number.

126270892720896 is a gapful number since it is divisible by the number (16) 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 126270892720896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223064774553600).

126270892720896 is an abundant number, since it is smaller than the sum of its proper divisors (319858656386304).

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

126270892720896 is a wasteful number, since it uses less digits than its factorization.

126270892720896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894717 (or 1894689 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 69.

The spelling of 126270892720896 in words is "one hundred twenty-six trillion, two hundred seventy billion, eight hundred ninety-two million, seven hundred twenty thousand, eight hundred ninety-six".