1585045687680 has 1792 divisors, whose sum is σ = 7188438902400. Its totient is φ = 325066162176.

The previous prime is 1585045687661. The next prime is 1585045687697. The reversal of 1585045687680 is 867865405851.

1585045687680 is a `hidden beast` number, since 1 + 5 + 8 + 5 + 0 + 4 + 568 + 7 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1570907016 + ... + 1570908024.

Almost surely, 2^{1585045687680} is an apocalyptic number.

1585045687680 is a gapful number since it is divisible by the number (10) 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 1585045687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3594219451200).

1585045687680 is an abundant number, since it is smaller than the sum of its proper divisors (5603393214720).

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

1585045687680 is a wasteful number, since it uses less digits than its factorization.

1585045687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 64512000, while the sum is 63.

The spelling of 1585045687680 in words is "one trillion, five hundred eighty-five billion, forty-five million, six hundred eighty-seven thousand, six hundred eighty".