5687597229600 has 1152 divisors, whose sum is σ = 22559486100480. Its totient is φ = 1225598976000.

The previous prime is 5687597229583. The next prime is 5687597229607. The reversal of 5687597229600 is 69227957865.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (5687597229607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6877384387 + ... + 6877385213.

It is an arithmetic number, because the mean of its divisors is an integer number (19582887240).

Almost surely, 2^{5687597229600} is an apocalyptic number.

5687597229600 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 5687597229600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11279743050240).

5687597229600 is an abundant number, since it is smaller than the sum of its proper divisors (16871888870880).

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

5687597229600 is a wasteful number, since it uses less digits than its factorization.

5687597229600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1594 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 66.

The spelling of 5687597229600 in words is "five trillion, six hundred eighty-seven billion, five hundred ninety-seven million, two hundred twenty-nine thousand, six hundred".