9952588800 has 1584 divisors, whose sum is σ = 48613138560. Its totient is φ = 1946419200.

The previous prime is 9952588799. The next prime is 9952588837. The reversal of 9952588800 is 88852599.

9952588800 is a `hidden beast` number, since 9 + 9 + 52 + 588 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 585446392 + ... + 585446408.

Almost surely, 2^9952588800 is an apocalyptic number.

9952588800 is a gapful number since it is divisible by the number (90) 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 9952588800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24306569280).

9952588800 is an abundant number, since it is smaller than the sum of its proper divisors (38660549760).

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

9952588800 is a wasteful number, since it uses less digits than its factorization.

9952588800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The square root of 9952588800 is about 99762.6623542095. The cubic root of 9952588800 is about 2151.0244838087.

The spelling of 9952588800 in words is "nine billion, nine hundred fifty-two million, five hundred eighty-eight thousand, eight hundred".