9953157120 has 224 divisors, whose sum is σ = 32188269888. Its totient is φ = 2625896448.

The previous prime is 9953157023. The next prime is 9953157143. The reversal of 9953157120 is 217513599.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13147782 + ... + 13148538.

Almost surely, 2^9953157120 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 9953157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094134944).

9953157120 is an abundant number, since it is smaller than the sum of its proper divisors (22235112768).

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

9953157120 is a wasteful number, since it uses less digits than its factorization.

9953157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 9953157120 is about 99765.5106737794. The cubic root of 9953157120 is about 2151.0654261535.

It can be divided in two parts, 99531 and 57120, that added together give a palindrome (156651).

The spelling of 9953157120 in words is "nine billion, nine hundred fifty-three million, one hundred fifty-seven thousand, one hundred twenty".