9951121152 has 432 divisors, whose sum is σ = 34150334400. Its totient is φ = 2727936000.

The previous prime is 9951121129. The next prime is 9951121153. The reversal of 9951121152 is 2511211599.

9951121152 is a `hidden beast` number, since 99 + 511 + 2 + 1 + 1 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951121153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66785974 + ... + 66786122.

It is an arithmetic number, because the mean of its divisors is an integer number (79051700).

Almost surely, 2^9951121152 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 9951121152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075167200).

9951121152 is an abundant number, since it is smaller than the sum of its proper divisors (24199213248).

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

9951121152 is a wasteful number, since it uses less digits than its factorization.

9951121152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 303 counting only the distinct ones).

The product of its digits is 8100, while the sum is 36.

The square root of 9951121152 is about 99755.3063851743. The cubic root of 9951121152 is about 2150.9187457595.

The spelling of 9951121152 in words is "nine billion, nine hundred fifty-one million, one hundred twenty-one thousand, one hundred fifty-two".