9955200326400 has 5184 divisors, whose sum is σ = 48930228264960. Its totient is φ = 1961990553600.

The previous prime is 9955200326371. The next prime is 9955200326413. The reversal of 9955200326400 is 46230025599.

9955200326400 is a `hidden beast` number, since 9 + 9 + 5 + 5 + 200 + 32 + 6 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 102630931152 + ... + 102630931248.

It is an arithmetic number, because the mean of its divisors is an integer number (9438701440).

Almost surely, 2^{9955200326400} is an apocalyptic number.

9955200326400 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 9955200326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24465114132480).

9955200326400 is an abundant number, since it is smaller than the sum of its proper divisors (38975027938560).

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

9955200326400 is a wasteful number, since it uses less digits than its factorization.

9955200326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 9955200326400 in words is "nine trillion, nine hundred fifty-five billion, two hundred million, three hundred twenty-six thousand, four hundred".