256901621760 has 1440 divisors, whose sum is σ = 1102230249120. Its totient is φ = 57354780672.

The previous prime is 256901621723. The next prime is 256901621761. The reversal of 256901621760 is 67126109652.

256901621760 is a `hidden beast` number, since 2 + 569 + 0 + 1 + 6 + 21 + 7 + 60 = 666.

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 not an unprimeable number, because it can be changed into a prime (256901621761) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5974456299 + ... + 5974456341.

It is an arithmetic number, because the mean of its divisors is an integer number (765437673).

Almost surely, 2^256901621760 is an apocalyptic number.

256901621760 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 256901621760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551115124560).

256901621760 is an abundant number, since it is smaller than the sum of its proper divisors (845328627360).

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

256901621760 is an frugal number, since it uses more digits than its factorization.

256901621760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 256901621760 in words is "two hundred fifty-six billion, nine hundred one million, six hundred twenty-one thousand, seven hundred sixty".