256963544880 has 640 divisors, whose sum is σ = 994179225600. Its totient is φ = 53572534272.

The previous prime is 256963544867. The next prime is 256963544891. The reversal of 256963544880 is 88445369652.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 123006876 + ... + 123008964.

It is an arithmetic number, because the mean of its divisors is an integer number (1553405040).

Almost surely, 2^256963544880 is an apocalyptic number.

256963544880 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 256963544880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497089612800).

256963544880 is an abundant number, since it is smaller than the sum of its proper divisors (737215680720).

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

256963544880 is a wasteful number, since it uses less digits than its factorization.

256963544880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2255 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 60.

The spelling of 256963544880 in words is "two hundred fifty-six billion, nine hundred sixty-three million, five hundred forty-four thousand, eight hundred eighty".