9819628051200 has 1728 divisors, whose sum is σ = 37782965735424. Its totient is φ = 2223636480000.

The previous prime is 9819628051091. The next prime is 9819628051201. The reversal of 9819628051200 is 21508269189.

It is not an unprimeable number, because it can be changed into a prime (9819628051201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 42144326284 + ... + 42144326516.

It is an arithmetic number, because the mean of its divisors is an integer number (21865142208).

Almost surely, 2^{9819628051200} 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 9819628051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18891482867712).

9819628051200 is an abundant number, since it is smaller than the sum of its proper divisors (27963337684224).

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

9819628051200 is a wasteful number, since it uses less digits than its factorization.

9819628051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The spelling of 9819628051200 in words is "nine trillion, eight hundred nineteen billion, six hundred twenty-eight million, fifty-one thousand, two hundred".