5685687561600 has 576 divisors, whose sum is σ = 21054807249840. Its totient is φ = 1515061739520.

The previous prime is 5685687561523. The next prime is 5685687561623. The reversal of 5685687561600 is 61657865865.

It is a happy number.

5685687561600 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 6 + 8 + 7 + 5 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2047419412 + ... + 2047422188.

Almost surely, 2^{5685687561600} is an apocalyptic number.

5685687561600 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 5685687561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527403624920).

5685687561600 is an abundant number, since it is smaller than the sum of its proper divisors (15369119688240).

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

5685687561600 is a wasteful number, since it uses less digits than its factorization.

5685687561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 63.

The spelling of 5685687561600 in words is "five trillion, six hundred eighty-five billion, six hundred eighty-seven million, five hundred sixty-one thousand, six hundred".