5682557088000 has 3456 divisors, whose sum is σ = 25404634644480. Its totient is φ = 1203948748800.

The previous prime is 5682557087993. The next prime is 5682557088071. The reversal of 5682557088000 is 8807552865.

It is a happy number.

5682557088000 is a `hidden beast` number, since 5 + 6 + 8 + 2 + 557 + 0 + 8 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 44744543937 + ... + 44744544063.

It is an arithmetic number, because the mean of its divisors is an integer number (7350878080).

Almost surely, 2^{5682557088000} is an apocalyptic number.

5682557088000 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 5682557088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702317322240).

5682557088000 is an abundant number, since it is smaller than the sum of its proper divisors (19722077556480).

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

5682557088000 is a wasteful number, since it uses less digits than its factorization.

5682557088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 5682557088000 in words is "five trillion, six hundred eighty-two billion, five hundred fifty-seven million, eighty-eight thousand".