11766726020224 has 512 divisors, whose sum is σ = 29827365765120. Its totient is φ = 4513259520000.

The previous prime is 11766726020221. The next prime is 11766726020239. The reversal of 11766726020224 is 42202062766711.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (11766726020221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2774514744 + ... + 2774518984.

It is an arithmetic number, because the mean of its divisors is an integer number (58256573760).

Almost surely, 2^{11766726020224} is an apocalyptic number.

11766726020224 is a gapful number since it is divisible by the number (14) 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 11766726020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14913682882560).

11766726020224 is an abundant number, since it is smaller than the sum of its proper divisors (18060639744896).

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

11766726020224 is a wasteful number, since it uses less digits than its factorization.

11766726020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460 (or 4448 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 46.

Adding to 11766726020224 its reverse (42202062766711), we get a palindrome (53968788786935).

The spelling of 11766726020224 in words is "eleven trillion, seven hundred sixty-six billion, seven hundred twenty-six million, twenty thousand, two hundred twenty-four".