5682493440000 has 3000 divisors, whose sum is σ = 24970291049088. Its totient is φ = 1274019840000.

The previous prime is 5682493439993. The next prime is 5682493440037. The reversal of 5682493440000 is 443942865.

5682493440000 is a `hidden beast` number, since 5 + 68 + 249 + 344 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3000).

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

It is an unprimeable number.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 183306239985 + ... + 183306240015.

Almost surely, 2^{5682493440000} is an apocalyptic number.

5682493440000 is a gapful number since it is divisible by the number (50) 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 5682493440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12485145524544).

5682493440000 is an abundant number, since it is smaller than the sum of its proper divisors (19287797609088).

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

5682493440000 is an equidigital number, since it uses as much as digits as its factorization.

5682493440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5682493440000 in words is "five trillion, six hundred eighty-two billion, four hundred ninety-three million, four hundred forty thousand".