5657882472000 has 2016 divisors, whose sum is σ = 24707697356160. Its totient is φ = 1222041600000.

The previous prime is 5657882471959. The next prime is 5657882472013. The reversal of 5657882472000 is 2742887565.

5657882472000 is a `hidden beast` number, since 5 + 6 + 578 + 8 + 2 + 47 + 20 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4348871350 + ... + 4348872650.

It is an arithmetic number, because the mean of its divisors is an integer number (12255802260).

Almost surely, 2^{5657882472000} is an apocalyptic number.

5657882472000 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 5657882472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353848678080).

5657882472000 is an abundant number, since it is smaller than the sum of its proper divisors (19049814884160).

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

5657882472000 is a wasteful number, since it uses less digits than its factorization.

5657882472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 5657882472000 in words is "five trillion, six hundred fifty-seven billion, eight hundred eighty-two million, four hundred seventy-two thousand".