1585730014380 has 144 divisors (see below), whose sum is σ = 5101306033824. Its totient is φ = 397337425920.

The previous prime is 1585730014327. The next prime is 1585730014381. The reversal of 1585730014380 is 834100375851.

It is a happy number.

1585730014380 is a `hidden beast` number, since 1 + 585 + 7 + 30 + 0 + 1 + 4 + 38 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1585730014381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1453095 + ... + 2298465.

It is an arithmetic number, because the mean of its divisors is an integer number (35425736346).

Almost surely, 2^{1585730014380} is an apocalyptic number.

1585730014380 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 1585730014380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2550653016912).

1585730014380 is an abundant number, since it is smaller than the sum of its proper divisors (3515576019444).

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

1585730014380 is a wasteful number, since it uses less digits than its factorization.

1585730014380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846016 (or 846011 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 1585730014380 in words is "one trillion, five hundred eighty-five billion, seven hundred thirty million, fourteen thousand, three hundred eighty".