1682607680052 has 192 divisors, whose sum is σ = 4583577487104. Its totient is φ = 475662458880.

The previous prime is 1682607680051. The next prime is 1682607680059. The reversal of 1682607680052 is 2500867062861.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 1682607679977 and 1682607680004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682607680051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 271516618 + ... + 271522814.

It is an arithmetic number, because the mean of its divisors is an integer number (23872799412).

Almost surely, 2^{1682607680052} is an apocalyptic number.

1682607680052 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 1682607680052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291788743552).

1682607680052 is an abundant number, since it is smaller than the sum of its proper divisors (2900969807052).

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

1682607680052 is a wasteful number, since it uses less digits than its factorization.

1682607680052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8658 (or 8656 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The spelling of 1682607680052 in words is "one trillion, six hundred eighty-two billion, six hundred seven million, six hundred eighty thousand, fifty-two".