1682827917120 has 1344 divisors, whose sum is σ = 7029614592000. Its totient is φ = 368953159680.

The previous prime is 1682827917119. The next prime is 1682827917181. The reversal of 1682827917120 is 217197282861.

1682827917120 is a `hidden beast` number, since 168 + 28 + 279 + 171 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5481524007 + ... + 5481524313.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368000).

Almost surely, 2^{1682827917120} is an apocalyptic number.

1682827917120 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 1682827917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514807296000).

1682827917120 is an abundant number, since it is smaller than the sum of its proper divisors (5346786674880).

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

1682827917120 is a wasteful number, since it uses less digits than its factorization.

1682827917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 54.

The spelling of 1682827917120 in words is "one trillion, six hundred eighty-two billion, eight hundred twenty-seven million, nine hundred seventeen thousand, one hundred twenty".