10291196362200 has 768 divisors, whose sum is σ = 37752583680000. Its totient is φ = 2296288051200.

The previous prime is 10291196362159. The next prime is 10291196362207. The reversal of 10291196362200 is 226369119201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10291196362207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 408871216 + ... + 408896384.

It is an arithmetic number, because the mean of its divisors is an integer number (49157010000).

Almost surely, 2^{10291196362200} is an apocalyptic number.

10291196362200 is a gapful number since it is divisible by the number (10) 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 10291196362200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18876291840000).

10291196362200 is an abundant number, since it is smaller than the sum of its proper divisors (27461387317800).

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

10291196362200 is a wasteful number, since it uses less digits than its factorization.

10291196362200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25340 (or 25331 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The spelling of 10291196362200 in words is "ten trillion, two hundred ninety-one billion, one hundred ninety-six million, three hundred sixty-two thousand, two hundred".