11900535664200 has 192 divisors, whose sum is σ = 37119402956160. Its totient is φ = 3153892485120.

The previous prime is 11900535664187. The next prime is 11900535664201. The reversal of 11900535664200 is 246653500911.

It is a super-2 number, since 2×11900535664200² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11900535664201) 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 47 ways as a sum of consecutive naturals, for example, 1005701484 + ... + 1005713316.

It is an arithmetic number, because the mean of its divisors is an integer number (193330223730).

Almost surely, 2^{11900535664200} is an apocalyptic number.

11900535664200 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 11900535664200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18559701478080).

11900535664200 is an abundant number, since it is smaller than the sum of its proper divisors (25218867291960).

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

11900535664200 is a wasteful number, since it uses less digits than its factorization.

11900535664200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22056 (or 22047 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

It can be divided in two parts, 1190053 and 5664200, that added together give a triangular number (6854253 = T₃₇₀₂).

The spelling of 11900535664200 in words is "eleven trillion, nine hundred billion, five hundred thirty-five million, six hundred sixty-four thousand, two hundred".