256585705860096 has 66 divisors (see below), whose sum is σ = 740885657431452. Its totient is φ = 85528568616960.

The previous prime is 256585705860067. The next prime is 256585705860139. The reversal of 256585705860096 is 690068507585652.

256585705860096 is a `hidden beast` number, since 2 + 5 + 6 + 5 + 8 + 5 + 7 + 0 + 5 + 8 + 600 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13920656250 + ... + 13920674681.

Almost surely, 2^{256585705860096} is an apocalyptic number.

It is an amenable number.

256585705860096 is an abundant number, since it is smaller than the sum of its proper divisors (484299951571356).

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

256585705860096 is a wasteful number, since it uses less digits than its factorization.

256585705860096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27841330957 (or 27841330936 counting only the distinct ones).

The product of its (nonzero) digits is 1088640000, while the sum is 72.

The spelling of 256585705860096 in words is "two hundred fifty-six trillion, five hundred eighty-five billion, seven hundred five million, eight hundred sixty thousand, ninety-six".