256841195520 has 896 divisors, whose sum is σ = 1025897693184. Its totient is φ = 53423898624.

The previous prime is 256841195449. The next prime is 256841195531. The reversal of 256841195520 is 25591148652.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×256841195520² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 256841195520.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1151754129 + ... + 1151754351.

It is an arithmetic number, because the mean of its divisors is an integer number (1144975104).

Almost surely, 2^256841195520 is an apocalyptic number.

256841195520 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 256841195520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512948846592).

256841195520 is an abundant number, since it is smaller than the sum of its proper divisors (769056497664).

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

256841195520 is a wasteful number, since it uses less digits than its factorization.

256841195520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 48.

The spelling of 256841195520 in words is "two hundred fifty-six billion, eight hundred forty-one million, one hundred ninety-five thousand, five hundred twenty".