8953152000 has 640 divisors, whose sum is σ = 34103317248. Its totient is φ = 2064384000.

The previous prime is 8953151953. The next prime is 8953152007. The reversal of 8953152000 is 2513598.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8953152007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42431895 + ... + 42432105.

Almost surely, 2^8953152000 is an apocalyptic number.

8953152000 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 8953152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051658624).

8953152000 is an abundant number, since it is smaller than the sum of its proper divisors (25150165248).

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

8953152000 is a wasteful number, since it uses less digits than its factorization.

8953152000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 8953152000 is about 94621.0970132983. The cubic root of 8953152000 is about 2076.4683660034.

Adding to 8953152000 its reverse (2513598), we get a palindrome (8955665598).

The spelling of 8953152000 in words is "eight billion, nine hundred fifty-three million, one hundred fifty-two thousand".