11521870063200 has 864 divisors, whose sum is σ = 48180472127424. Its totient is φ = 2535936491520.

The previous prime is 11521870063157. The next prime is 11521870063201. The reversal of 11521870063200 is 236007812511.

11521870063200 is a `hidden beast` number, since 1 + 1 + 5 + 2 + 18 + 7 + 0 + 0 + 632 + 0 + 0 = 666.

11521870063200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11521870063201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180853752 + ... + 180917448.

Almost surely, 2^{11521870063200} is an apocalyptic number.

11521870063200 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 11521870063200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24090236063712).

11521870063200 is an abundant number, since it is smaller than the sum of its proper divisors (36658602064224).

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

11521870063200 is a wasteful number, since it uses less digits than its factorization.

11521870063200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63864 (or 63848 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 11521870063200 its reverse (236007812511), we get a palindrome (11757877875711).

The spelling of 11521870063200 in words is "eleven trillion, five hundred twenty-one billion, eight hundred seventy million, sixty-three thousand, two hundred".