1585826415616 has 297 divisors, whose sum is σ = 3491299094101. Its totient is φ = 719874039808.

The previous prime is 1585826415611. The next prime is 1585826415647. The reversal of 1585826415616 is 6165146285851.

The square root of 1585826415616 is 1259296.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 831568905216 + 754257510400 = 911904^2 + 868480^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is not an unprimeable number, because it can be changed into a prime (1585826415611) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 26878413795 + ... + 26878413853.

Almost surely, 2^{1585826415616} is an apocalyptic number.

1585826415616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1585826415616 is the 1259296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1585826415616

1585826415616 is an abundant number, since it is smaller than the sum of its proper divisors (1905472678485).

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

1585826415616 is an frugal number, since it uses more digits than its factorization.

1585826415616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 113 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 58.

The spelling of 1585826415616 in words is "one trillion, five hundred eighty-five billion, eight hundred twenty-six million, four hundred fifteen thousand, six hundred sixteen".