9955202400 has 864 divisors, whose sum is σ = 42765075360. Its totient is φ = 2220134400.

The previous prime is 9955202393. The next prime is 9955202473. The reversal of 9955202400 is 42025599.

It is a happy number.

9955202400 is a `hidden beast` number, since 9 + 95 + 520 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 143 ways as a sum of consecutive naturals, for example, 33976654 + ... + 33976946.

It is an arithmetic number, because the mean of its divisors is an integer number (49496615).

Almost surely, 2^9955202400 is an apocalyptic number.

9955202400 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 9955202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21382537680).

9955202400 is an abundant number, since it is smaller than the sum of its proper divisors (32809872960).

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

9955202400 is a wasteful number, since it uses less digits than its factorization.

9955202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 9955202400 is about 99775.7605834203. The cubic root of 9955202400 is about 2151.2127572875.

Adding to 9955202400 its reverse (42025599), we get a palindrome (9997227999).

The spelling of 9955202400 in words is "nine billion, nine hundred fifty-five million, two hundred two thousand, four hundred".