256421196126 has 128 divisors (see below), whose sum is σ = 597376051200. Its totient is φ = 81448778880.

The previous prime is 256421196103. The next prime is 256421196137. The reversal of 256421196126 is 621691124652.

256421196126 is a `hidden beast` number, since 2 + 5 + 6 + 4 + 21 + 1 + 9 + 612 + 6 = 666.

256421196126 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 29124441 + ... + 29133243.

It is an arithmetic number, because the mean of its divisors is an integer number (4667000400).

Almost surely, 2^256421196126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256421196126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298688025600).

256421196126 is an abundant number, since it is smaller than the sum of its proper divisors (340954855074).

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

256421196126 is a wasteful number, since it uses less digits than its factorization.

256421196126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9151 (or 9145 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 256421196126 in words is "two hundred fifty-six billion, four hundred twenty-one million, one hundred ninety-six thousand, one hundred twenty-six".