256395101760 has 1792 divisors, whose sum is σ = 1158727680000. Its totient is φ = 52027785216.

The previous prime is 256395101659. The next prime is 256395101761. The reversal of 256395101760 is 67101593652.

256395101760 is a `hidden beast` number, since 2 + 5 + 63 + 9 + 510 + 1 + 76 + 0 = 666.

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 (256395101761) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2352248586 + ... + 2352248694.

Almost surely, 2^256395101760 is an apocalyptic number.

256395101760 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 256395101760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579363840000).

256395101760 is an abundant number, since it is smaller than the sum of its proper divisors (902332578240).

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

256395101760 is a wasteful number, since it uses less digits than its factorization.

256395101760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 256395101760 in words is "two hundred fifty-six billion, three hundred ninety-five million, one hundred one thousand, seven hundred sixty".