11520781632 has 336 divisors, whose sum is σ = 36449853440. Its totient is φ = 3597737472.

The previous prime is 11520781631. The next prime is 11520781637. The reversal of 11520781632 is 23618702511.

11520781632 is a `hidden beast` number, since 1 + 1 + 520 + 78 + 1 + 63 + 2 = 666.

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 (11520781631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37526823 + ... + 37527129.

Almost surely, 2^11520781632 is an apocalyptic number.

11520781632 is a gapful number since it is divisible by the number (12) 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 11520781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18224926720).

11520781632 is an abundant number, since it is smaller than the sum of its proper divisors (24929071808).

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

11520781632 is a wasteful number, since it uses less digits than its factorization.

11520781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 458 counting only the distinct ones).

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

The spelling of 11520781632 in words is "eleven billion, five hundred twenty million, seven hundred eighty-one thousand, six hundred thirty-two".