8557725600 has 288 divisors, whose sum is σ = 31169880000. Its totient is φ = 2265891840.

The previous prime is 8557725599. The next prime is 8557725601. The reversal of 8557725600 is 65277558.

8557725600 is a `hidden beast` number, since 85 + 5 + 7 + 7 + 2 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (8557725599) and next prime (8557725601).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8557725601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3217071 + ... + 3219729.

It is an arithmetic number, because the mean of its divisors is an integer number (108228750).

Almost surely, 2^8557725600 is an apocalyptic number.

8557725600 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 8557725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15584940000).

8557725600 is an abundant number, since it is smaller than the sum of its proper divisors (22612154400).

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

8557725600 is a wasteful number, since it uses less digits than its factorization.

8557725600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 588000, while the sum is 45.

The square root of 8557725600 is about 92507.9758723538. The cubic root of 8557725600 is about 2045.4370532646.

The spelling of 8557725600 in words is "eight billion, five hundred fifty-seven million, seven hundred twenty-five thousand, six hundred".