9903227510400 has 384 divisors, whose sum is σ = 38187822072960. Its totient is φ = 2208384614400.

The previous prime is 9903227510399. The next prime is 9903227510413. The reversal of 9903227510400 is 40157223099.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 958012 + ... + 4552388.

It is an arithmetic number, because the mean of its divisors is an integer number (99447453315).

Almost surely, 2^{9903227510400} 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 9903227510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19093911036480).

9903227510400 is an abundant number, since it is smaller than the sum of its proper divisors (28284594562560).

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

9903227510400 is a wasteful number, since it uses less digits than its factorization.

9903227510400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594452 (or 3594435 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 9903227510400 in words is "nine trillion, nine hundred three billion, two hundred twenty-seven million, five hundred ten thousand, four hundred".