256264106266020 has 384 divisors, whose sum is σ = 766644380909568. Its totient is φ = 63815431680000.

The previous prime is 256264106266001. The next prime is 256264106266037. The reversal of 256264106266020 is 20662601462652.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15434799039 + ... + 15434815641.

It is an arithmetic number, because the mean of its divisors is an integer number (1996469741952).

Almost surely, 2^{256264106266020} is an apocalyptic number.

256264106266020 is a gapful number since it is divisible by the number (20) 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 256264106266020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383322190454784).

256264106266020 is an abundant number, since it is smaller than the sum of its proper divisors (510380274643548).

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

256264106266020 is a wasteful number, since it uses less digits than its factorization.

256264106266020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17723 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 256264106266020 in words is "two hundred fifty-six trillion, two hundred sixty-four billion, one hundred six million, two hundred sixty-six thousand, twenty".