9957222400 has 144 divisors (see below), whose sum is σ = 24799975200. Its totient is φ = 3964846080.

The previous prime is 9957222391. The next prime is 9957222421. The reversal of 9957222400 is 42227599.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22476579 + ... + 22477021.

It is an arithmetic number, because the mean of its divisors is an integer number (172222050).

Almost surely, 2^9957222400 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 9957222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12399987600).

9957222400 is an abundant number, since it is smaller than the sum of its proper divisors (14842752800).

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

9957222400 is a wasteful number, since it uses less digits than its factorization.

9957222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 9957222400 is about 99785.8827690571. The cubic root of 9957222400 is about 2151.3582475788.

Adding to 9957222400 its reverse (42227599), we get a palindrome (9999449999).

The spelling of 9957222400 in words is "nine billion, nine hundred fifty-seven million, two hundred twenty-two thousand, four hundred".