256662120960 has 1440 divisors, whose sum is σ = 1101770017920. Its totient is φ = 56112611328.

The previous prime is 256662120947. The next prime is 256662120983. The reversal of 256662120960 is 69021266652.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4350205411 + ... + 4350205469.

It is an arithmetic number, because the mean of its divisors is an integer number (765118068).

Almost surely, 2^256662120960 is an apocalyptic number.

256662120960 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 256662120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550885008960).

256662120960 is an abundant number, since it is smaller than the sum of its proper divisors (845107896960).

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

256662120960 is an frugal number, since it uses more digits than its factorization.

256662120960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 256662120960 in words is "two hundred fifty-six billion, six hundred sixty-two million, one hundred twenty thousand, nine hundred sixty".