8564551155072 has 1024 divisors, whose sum is σ = 29223558144000. Its totient is φ = 2445520896000.

The previous prime is 8564551155049. The next prime is 8564551155077. The reversal of 8564551155072 is 2705511554658.

8564551155072 is a `hidden beast` number, since 8 + 5 + 6 + 4 + 5 + 5 + 11 + 550 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8564551155077) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7835819358 + ... + 7835820450.

It is an arithmetic number, because the mean of its divisors is an integer number (28538631000).

Almost surely, 2^{8564551155072} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8564551155072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14611779072000).

8564551155072 is an abundant number, since it is smaller than the sum of its proper divisors (20659006988928).

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

8564551155072 is a wasteful number, since it uses less digits than its factorization.

8564551155072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 8400000, while the sum is 54.

The spelling of 8564551155072 in words is "eight trillion, five hundred sixty-four billion, five hundred fifty-one million, one hundred fifty-five thousand, seventy-two".