8675251200 has 1056 divisors, whose sum is σ = 39962680320. Its totient is φ = 1791590400.

The previous prime is 8675251199. The next prime is 8675251229. The reversal of 8675251200 is 21525768.

It is a happy number.

8675251200 is a `hidden beast` number, since 8 + 6 + 7 + 525 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53222319 + ... + 53222481.

Almost surely, 2^8675251200 is an apocalyptic number.

8675251200 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 8675251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19981340160).

8675251200 is an abundant number, since it is smaller than the sum of its proper divisors (31287429120).

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

8675251200 is a wasteful number, since it uses less digits than its factorization.

8675251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8675251200 is about 93141.0285534791. The cubic root of 8675251200 is about 2054.7580300106.

Adding to 8675251200 its reverse (21525768), we get a palindrome (8696776968).

The spelling of 8675251200 in words is "eight billion, six hundred seventy-five million, two hundred fifty-one thousand, two hundred".