9954655838400 has 2016 divisors, whose sum is σ = 41816121721920. Its totient is φ = 2054640107520.

The previous prime is 9954655838399. The next prime is 9954655838411. The reversal of 9954655838400 is 48385564599.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42723844684 + ... + 42723844916.

It is an arithmetic number, because the mean of its divisors is an integer number (20742123870).

Almost surely, 2^{9954655838400} 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 9954655838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20908060860960).

9954655838400 is an abundant number, since it is smaller than the sum of its proper divisors (31861465883520).

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

9954655838400 is a wasteful number, since it uses less digits than its factorization.

9954655838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 186624000, while the sum is 66.

The spelling of 9954655838400 in words is "nine trillion, nine hundred fifty-four billion, six hundred fifty-five million, eight hundred thirty-eight thousand, four hundred".