6560597828400 has 720 divisors, whose sum is σ = 26823993654528. Its totient is φ = 1355337984000.

The previous prime is 6560597828399. The next prime is 6560597828401. The reversal of 6560597828400 is 48287950656.

It is an interprime number because it is at equal distance from previous prime (6560597828399) and next prime (6560597828401).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (6560597828401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 111867085 + ... + 111925715.

Almost surely, 2^{6560597828400} is an apocalyptic number.

6560597828400 is a gapful number since it is divisible by the number (60) 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 6560597828400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13411996827264).

6560597828400 is an abundant number, since it is smaller than the sum of its proper divisors (20263395826128).

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

6560597828400 is a wasteful number, since it uses less digits than its factorization.

6560597828400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58850 (or 58832 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 6560597828400 in words is "six trillion, five hundred sixty billion, five hundred ninety-seven million, eight hundred twenty-eight thousand, four hundred".