9955310400 has 504 divisors, whose sum is σ = 42224797440. Its totient is φ = 2275015680.

The previous prime is 9955310371. The next prime is 9955310413. The reversal of 9955310400 is 40135599.

9955310400 is a `hidden beast` number, since 99 + 553 + 10 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2114449 + ... + 2119151.

It is an arithmetic number, because the mean of its divisors is an integer number (83779360).

Almost surely, 2^9955310400 is an apocalyptic number.

9955310400 is a gapful number since it is divisible by the number (90) 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 9955310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21112398720).

9955310400 is an abundant number, since it is smaller than the sum of its proper divisors (32269487040).

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

9955310400 is a wasteful number, since it uses less digits than its factorization.

9955310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 9955310400 is about 99776.3017955667. The cubic root of 9955310400 is about 2151.2205364743.

Adding to 9955310400 its reverse (40135599), we get a palindrome (9995445999).

The spelling of 9955310400 in words is "nine billion, nine hundred fifty-five million, three hundred ten thousand, four hundred".