8556649545600 has 1728 divisors, whose sum is σ = 34121597328000. Its totient is φ = 2039908515840.

The previous prime is 8556649545589. The next prime is 8556649545637. The reversal of 8556649545600 is 65459466558.

8556649545600 is a `hidden beast` number, since 8 + 5 + 5 + 6 + 64 + 9 + 5 + 4 + 560 + 0 = 666.

It is a super-3 number, since 3×8556649545600³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 23834678221 + ... + 23834678579.

It is an arithmetic number, because the mean of its divisors is an integer number (19746294750).

Almost surely, 2^{8556649545600} is an apocalyptic number.

8556649545600 is a gapful number since it is divisible by the number (80) 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 8556649545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17060798664000).

8556649545600 is an abundant number, since it is smaller than the sum of its proper divisors (25564947782400).

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

8556649545600 is a wasteful number, since it uses less digits than its factorization.

8556649545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 8556649545600 in words is "eight trillion, five hundred fifty-six billion, six hundred forty-nine million, five hundred forty-five thousand, six hundred".