9951595776 has 216 divisors, whose sum is σ = 29771056224. Its totient is φ = 3194449920.

The previous prime is 9951595763. The next prime is 9951595777. The reversal of 9951595776 is 6775951599.

9951595776 is a `hidden beast` number, since 9 + 9 + 5 + 1 + 59 + 577 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951595777) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9120991 + ... + 9122081.

It is an arithmetic number, because the mean of its divisors is an integer number (137828964).

Almost surely, 2^9951595776 is an apocalyptic number.

9951595776 is a gapful number since it is divisible by the number (96) 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 9951595776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885528112).

9951595776 is an abundant number, since it is smaller than the sum of its proper divisors (19819460448).

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

9951595776 is a wasteful number, since it uses less digits than its factorization.

9951595776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1240 counting only the distinct ones).

The product of its digits is 26790750, while the sum is 63.

The square root of 9951595776 is about 99757.6852979258. The cubic root of 9951595776 is about 2150.9529416192.

The spelling of 9951595776 in words is "nine billion, nine hundred fifty-one million, five hundred ninety-five thousand, seven hundred seventy-six".