1585350144000 has 2080 divisors, whose sum is σ = 6966257565696. Its totient is φ = 351151718400.

The previous prime is 1585350143987. The next prime is 1585350144019. The reversal of 1585350144000 is 4410535851.

1585350144000 is a `hidden beast` number, since 1 + 585 + 35 + 0 + 1 + 4 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12483071937 + ... + 12483072063.

Almost surely, 2^{1585350144000} is an apocalyptic number.

1585350144000 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 1585350144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3483128782848).

1585350144000 is an abundant number, since it is smaller than the sum of its proper divisors (5380907421696).

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

1585350144000 is an equidigital number, since it uses as much as digits as its factorization.

1585350144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

1585350144000 divided by its product of nonzero digits (48000) gives a triangular number (33028128 = T₈₁₂₇).

Adding to 1585350144000 its reverse (4410535851), we get a palindrome (1589760679851).

The spelling of 1585350144000 in words is "one trillion, five hundred eighty-five billion, three hundred fifty million, one hundred forty-four thousand".