1682801049600 has 2160 divisors, whose sum is σ = 7187800576320. Its totient is φ = 386452684800.

The previous prime is 1682801049563. The next prime is 1682801049607. The reversal of 1682801049600 is 69401082861.

1682801049600 is a `hidden beast` number, since 1 + 6 + 8 + 28 + 0 + 10 + 4 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1682801049607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31750963174 + ... + 31750963226.

It is an arithmetic number, because the mean of its divisors is an integer number (3327685452).

Almost surely, 2^{1682801049600} is an apocalyptic number.

1682801049600 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 1682801049600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3593900288160).

1682801049600 is an abundant number, since it is smaller than the sum of its proper divisors (5504999526720).

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

1682801049600 is an equidigital number, since it uses as much as digits as its factorization.

1682801049600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1682801049600 in words is "one trillion, six hundred eighty-two billion, eight hundred one million, forty-nine thousand, six hundred".