11684225053120 has 224 divisors, whose sum is σ = 28411026134400. Its totient is φ = 4575987302400.

The previous prime is 11684225053027. The next prime is 11684225053121. The reversal of 11684225053120 is 2135052248611.

It is a happy number.

It is a super-2 number, since 2×11684225053120² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684225053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1899562045 + ... + 1899568195.

It is an arithmetic number, because the mean of its divisors is an integer number (126834938100).

Almost surely, 2^{11684225053120} is an apocalyptic number.

11684225053120 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 11684225053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14205513067200).

11684225053120 is an abundant number, since it is smaller than the sum of its proper divisors (16726801081280).

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

11684225053120 is a wasteful number, since it uses less digits than its factorization.

11684225053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6813 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The spelling of 11684225053120 in words is "eleven trillion, six hundred eighty-four billion, two hundred twenty-five million, fifty-three thousand, one hundred twenty".