256398893652 has 96 divisors (see below), whose sum is σ = 659390054400. Its totient is φ = 76896086400.

The previous prime is 256398893617. The next prime is 256398893657.

256398893652 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256398893657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13212877 + ... + 13232267.

It is an arithmetic number, because the mean of its divisors is an integer number (6868646400).

Almost surely, 2^256398893652 is an apocalyptic number.

256398893652 is a gapful number since it is divisible by the number (22) 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 256398893652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329695027200).

256398893652 is an abundant number, since it is smaller than the sum of its proper divisors (402991160748).

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

256398893652 is a wasteful number, since it uses less digits than its factorization.

256398893652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20437 (or 20435 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 66.

It can be divided in two parts, 25639889 and 3652, that added together give a triangular number (25643541 = T₇₁₆₁).

The spelling of 256398893652 in words is "two hundred fifty-six billion, three hundred ninety-eight million, eight hundred ninety-three thousand, six hundred fifty-two".