1585400455727 has 16 divisors (see below), whose sum is σ = 1736835416064. Its totient is φ = 1435186200000.

The previous prime is 1585400455703. The next prime is 1585400455741. The reversal of 1585400455727 is 7275540045851.

It is a cyclic number.

It is not a de Polignac number, because 1585400455727 - 2¹² = 1585400451631 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1585400455127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11797202 + ... + 11930832.

It is an arithmetic number, because the mean of its divisors is an integer number (108552213504).

Almost surely, 2^{1585400455727} is an apocalyptic number.

1585400455727 is a deficient number, since it is larger than the sum of its proper divisors (151434960337).

1585400455727 is a wasteful number, since it uses less digits than its factorization.

1585400455727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138190.

The product of its (nonzero) digits is 7840000, while the sum is 53.

The spelling of 1585400455727 in words is "one trillion, five hundred eighty-five billion, four hundred million, four hundred fifty-five thousand, seven hundred twenty-seven".