11532406410 has 192 divisors, whose sum is σ = 35862128640. Its totient is φ = 2515691520.

The previous prime is 11532406397. The next prime is 11532406411. The reversal of 11532406410 is 1460423511.

It is a happy number.

11532406410 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 240 + 6 + 410 = 666.

11532406410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11532406411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1421646 + ... + 1429734.

It is an arithmetic number, because the mean of its divisors is an integer number (186781920).

Almost surely, 2^11532406410 is an apocalyptic number.

11532406410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11532406410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17931064320).

11532406410 is an abundant number, since it is smaller than the sum of its proper divisors (24329722230).

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

11532406410 is a wasteful number, since it uses less digits than its factorization.

11532406410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8213 (or 8210 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11532406410 its reverse (1460423511), we get a palindrome (12992829921).

It can be divided in two parts, 11532406 and 410, that added together give a square (11532816 = 3396²).

The spelling of 11532406410 in words is "eleven billion, five hundred thirty-two million, four hundred six thousand, four hundred ten".