8895625200 has 960 divisors, whose sum is σ = 41625907200. Its totient is φ = 1748044800.

The previous prime is 8895625183. The next prime is 8895625201. The reversal of 8895625200 is 25265988.

8895625200 is a `hidden beast` number, since 8 + 89 + 562 + 5 + 2 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8895625201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15800119 + ... + 15800681.

It is an arithmetic number, because the mean of its divisors is an integer number (43360320).

Almost surely, 2^8895625200 is an apocalyptic number.

8895625200 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 8895625200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20812953600).

8895625200 is an abundant number, since it is smaller than the sum of its proper divisors (32730282000).

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

8895625200 is a wasteful number, since it uses less digits than its factorization.

8895625200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 8895625200 is about 94316.6220769171. The cubic root of 8895625200 is about 2072.0114872924.

The spelling of 8895625200 in words is "eight billion, eight hundred ninety-five million, six hundred twenty-five thousand, two hundred".