1605082426992 has 800 divisors, whose sum is σ = 5314291006464. Its totient is φ = 463478630400.

The previous prime is 1605082426951. The next prime is 1605082427023. The reversal of 1605082426992 is 2996242805061.

1605082426992 is a `hidden beast` number, since 1 + 6 + 0 + 50 + 82 + 426 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 7070847583 + ... + 7070847809.

Almost surely, 2^{1605082426992} is an apocalyptic number.

1605082426992 is a gapful number since it is divisible by the number (12) 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 1605082426992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657145503232).

1605082426992 is an abundant number, since it is smaller than the sum of its proper divisors (3709208579472).

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

1605082426992 is a wasteful number, since it uses less digits than its factorization.

1605082426992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1605082426992 in words is "one trillion, six hundred five billion, eighty-two million, four hundred twenty-six thousand, nine hundred ninety-two".