5657801186080 has 384 divisors, whose sum is σ = 14493884719104. Its totient is φ = 2082712780800.

The previous prime is 5657801186069. The next prime is 5657801186119. The reversal of 5657801186080 is 806811087565.

It is a happy number.

It is a super-3 number, since 3×5657801186080³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2647542772 + ... + 2647544908.

It is an arithmetic number, because the mean of its divisors is an integer number (37744491456).

Almost surely, 2^{5657801186080} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5657801186080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7246942359552).

5657801186080 is an abundant number, since it is smaller than the sum of its proper divisors (8836083533024).

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

5657801186080 is a wasteful number, since it uses less digits than its factorization.

5657801186080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2540 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 55.

The spelling of 5657801186080 in words is "five trillion, six hundred fifty-seven billion, eight hundred one million, one hundred eighty-six thousand, eighty".