256540044330054 has 192 divisors, whose sum is σ = 569435650160832. Its totient is φ = 83446883942400.

The previous prime is 256540044330049. The next prime is 256540044330131. The reversal of 256540044330054 is 450033440045652.

256540044330054 is a `hidden beast` number, since 2 + 56 + 540 + 0 + 4 + 4 + 3 + 3 + 0 + 0 + 54 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 256540044329991 and 256540044330009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84471531024 + ... + 84471534060.

It is an arithmetic number, because the mean of its divisors is an integer number (2965810677921).

Almost surely, 2^{256540044330054} is an apocalyptic number.

256540044330054 is an abundant number, since it is smaller than the sum of its proper divisors (312895605830778).

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

256540044330054 is a wasteful number, since it uses less digits than its factorization.

256540044330054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 256540044330054 in words is "two hundred fifty-six trillion, five hundred forty billion, forty-four million, three hundred thirty thousand, fifty-four".