11681550803520 has 448 divisors, whose sum is σ = 44573805696000. Its totient is φ = 2862895767552.

The previous prime is 11681550803519. The next prime is 11681550803521. The reversal of 11681550803520 is 2530805518611.

11681550803520 is a `hidden beast` number, since 1 + 1 + 68 + 1 + 550 + 8 + 0 + 35 + 2 + 0 = 666.

11681550803520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11681550803519) and next prime (11681550803521).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (11681550803521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25494201 + ... + 25948359.

It is an arithmetic number, because the mean of its divisors is an integer number (99495102000).

Almost surely, 2^{11681550803520} is an apocalyptic number.

11681550803520 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 11681550803520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22286902848000).

11681550803520 is an abundant number, since it is smaller than the sum of its proper divisors (32892254892480).

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

11681550803520 is a wasteful number, since it uses less digits than its factorization.

11681550803520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454427 (or 454411 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 11681550803520 in words is "eleven trillion, six hundred eighty-one billion, five hundred fifty million, eight hundred three thousand, five hundred twenty".