9825190416200 has 192 divisors, whose sum is σ = 23502812152320. Its totient is φ = 3817941120000.

The previous prime is 9825190416149. The next prime is 9825190416227. The reversal of 9825190416200 is 26140915289.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (47).

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, 2743698410 + ... + 2743701990.

It is an arithmetic number, because the mean of its divisors is an integer number (122410479960).

Almost surely, 2^{9825190416200} 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 9825190416200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11751406076160).

9825190416200 is an abundant number, since it is smaller than the sum of its proper divisors (13677621736120).

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

9825190416200 is a wasteful number, since it uses less digits than its factorization.

9825190416200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 9825190416200 in words is "nine trillion, eight hundred twenty-five billion, one hundred ninety million, four hundred sixteen thousand, two hundred".