5656311125600 has 288 divisors, whose sum is σ = 14285156941440. Its totient is φ = 2185648496640.

The previous prime is 5656311125593. The next prime is 5656311125611. The reversal of 5656311125600 is 65211136565.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3713926439 + ... + 3713927961.

It is an arithmetic number, because the mean of its divisors is an integer number (49601239380).

Almost surely, 2^{5656311125600} is an apocalyptic number.

5656311125600 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 5656311125600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142578470720).

5656311125600 is an abundant number, since it is smaller than the sum of its proper divisors (8628845815840).

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

5656311125600 is a wasteful number, since it uses less digits than its factorization.

5656311125600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 5656311125600 in words is "five trillion, six hundred fifty-six billion, three hundred eleven million, one hundred twenty-five thousand, six hundred".