11145300210000 has 1200 divisors, whose sum is σ = 45571361996160. Its totient is φ = 2514378240000.

The previous prime is 11145300209867. The next prime is 11145300210041. The reversal of 11145300210000 is 1200354111.

11145300210000 is a `hidden beast` number, since 1 + 1 + 1 + 453 + 0 + 0 + 210 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-3 number, since 3×11145300210000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 842483386 + ... + 842496614.

Almost surely, 2^{11145300210000} is an apocalyptic number.

11145300210000 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 11145300210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785680998080).

11145300210000 is an abundant number, since it is smaller than the sum of its proper divisors (34426061786160).

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

11145300210000 is a wasteful number, since it uses less digits than its factorization.

11145300210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 13310 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 11145300210000 its reverse (1200354111), we get a palindrome (11146500564111).

The spelling of 11145300210000 in words is "eleven trillion, one hundred forty-five billion, three hundred million, two hundred ten thousand".