1682271958752 has 1728 divisors, whose sum is σ = 6781508697600. Its totient is φ = 382504550400.

The previous prime is 1682271958721. The next prime is 1682271958793. The reversal of 1682271958752 is 2578591722861.

1682271958752 is a `hidden beast` number, since 16 + 8 + 2 + 27 + 19 + 587 + 5 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1682271958752.

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 287 ways as a sum of consecutive naturals, for example, 27578228802 + ... + 27578228862.

It is an arithmetic number, because the mean of its divisors is an integer number (3924484200).

Almost surely, 2^{1682271958752} is an apocalyptic number.

1682271958752 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 1682271958752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390754348800).

1682271958752 is an abundant number, since it is smaller than the sum of its proper divisors (5099236738848).

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

1682271958752 is a wasteful number, since it uses less digits than its factorization.

1682271958752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 169 counting only the distinct ones).

The product of its digits is 33868800, while the sum is 63.

The spelling of 1682271958752 in words is "one trillion, six hundred eighty-two billion, two hundred seventy-one million, nine hundred fifty-eight thousand, seven hundred fifty-two".