11529481420800 has 2142 divisors, whose sum is σ = 50122014129198. Its totient is φ = 2621932830720.

The previous prime is 11529481420781. The next prime is 11529481420811. The reversal of 11529481420800 is 802418492511.

11529481420800 is a `hidden beast` number, since 1 + 1 + 52 + 9 + 481 + 42 + 0 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 3380420542464 + 8149060878336 = 1838592^2 + 2854656^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 58525286302 + ... + 58525286498.

Almost surely, 2^{11529481420800} is an apocalyptic number.

11529481420800 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 11529481420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25061007064599).

11529481420800 is an abundant number, since it is smaller than the sum of its proper divisors (38592532708398).

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

11529481420800 is an frugal number, since it uses more digits than its factorization.

11529481420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 11529481420800 in words is "eleven trillion, five hundred twenty-nine billion, four hundred eighty-one million, four hundred twenty thousand, eight hundred".