9952640152 has 128 divisors (see below), whose sum is σ = 23890204800. Its totient is φ = 3780661248.

The previous prime is 9952640149. The next prime is 9952640177. The reversal of 9952640152 is 2510462599.

It is a junction number, because it is equal to n+sod(n) for n = 9952640099 and 9952640108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4157868 + ... + 4160260.

It is an arithmetic number, because the mean of its divisors is an integer number (186642225).

Almost surely, 2^9952640152 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 9952640152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11945102400).

9952640152 is an abundant number, since it is smaller than the sum of its proper divisors (13937564648).

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

9952640152 is a wasteful number, since it uses less digits than its factorization.

9952640152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The square root of 9952640152 is about 99762.9197247154. The cubic root of 9952640152 is about 2151.0281833225.

The spelling of 9952640152 in words is "nine billion, nine hundred fifty-two million, six hundred forty thousand, one hundred fifty-two".