9952108800 has 216 divisors, whose sum is σ = 34573932960. Its totient is φ = 2514124800.

The previous prime is 9952108799. The next prime is 9952108807. The reversal of 9952108800 is 88012599.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (9952108807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 351160 + ... + 378440.

Almost surely, 2^9952108800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9952108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17286966480).

9952108800 is an abundant number, since it is smaller than the sum of its proper divisors (24621824160).

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

9952108800 is a wasteful number, since it uses less digits than its factorization.

9952108800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27329 (or 27310 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 9952108800 is about 99760.2566155481. The cubic root of 9952108800 is about 2150.9899029115.

The spelling of 9952108800 in words is "nine billion, nine hundred fifty-two million, one hundred eight thousand, eight hundred".