9951110400 has 864 divisors, whose sum is σ = 42045308928. Its totient is φ = 2012774400.

The previous prime is 9951110387. The next prime is 9951110401. The reversal of 9951110400 is 40111599.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9951110401) 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 95 ways as a sum of consecutive naturals, for example, 78355137 + ... + 78355263.

It is an arithmetic number, because the mean of its divisors is an integer number (48663552).

Almost surely, 2^9951110400 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 9951110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21022654464).

9951110400 is an abundant number, since it is smaller than the sum of its proper divisors (32094198528).

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

9951110400 is a wasteful number, since it uses less digits than its factorization.

9951110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 9951110400 is about 99755.2524932898. The cubic root of 9951110400 is about 2150.9179710834.

Adding to 9951110400 its reverse (40111599), we get a palindrome (9991221999).

The spelling of 9951110400 in words is "nine billion, nine hundred fifty-one million, one hundred ten thousand, four hundred".