10897267812200 has 192 divisors, whose sum is σ = 31598584168320. Its totient is φ = 3395404800000.

The previous prime is 10897267812143. The next prime is 10897267812227. The reversal of 10897267812200 is 221876279801.

It is a Cunningham number, because it is equal to 3301101²-1.

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, 46097504 + ... + 46333296.

It is an arithmetic number, because the mean of its divisors is an integer number (164575959210).

Almost surely, 2^{10897267812200} is an apocalyptic number.

10897267812200 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 10897267812200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15799292084160).

10897267812200 is an abundant number, since it is smaller than the sum of its proper divisors (20701316356120).

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

10897267812200 is a wasteful number, since it uses less digits than its factorization.

10897267812200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238828 (or 238819 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 53.

The spelling of 10897267812200 in words is "ten trillion, eight hundred ninety-seven billion, two hundred sixty-seven million, eight hundred twelve thousand, two hundred".