8575145600 has 384 divisors, whose sum is σ = 25571220480. Its totient is φ = 2779545600.

The previous prime is 8575145563. The next prime is 8575145617. The reversal of 8575145600 is 65415758.

It is a super-2 number, since 2×8575145600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36803084 + ... + 36803316.

It is an arithmetic number, because the mean of its divisors is an integer number (66591720).

Almost surely, 2^8575145600 is an apocalyptic number.

8575145600 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 8575145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785610240).

8575145600 is an abundant number, since it is smaller than the sum of its proper divisors (16996074880).

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

8575145600 is a wasteful number, since it uses less digits than its factorization.

8575145600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 168000, while the sum is 41.

The square root of 8575145600 is about 92602.0820500274. The cubic root of 8575145600 is about 2046.8240013632.

The spelling of 8575145600 in words is "eight billion, five hundred seventy-five million, one hundred forty-five thousand, six hundred".