11310025643532 has 432 divisors, whose sum is σ = 36442617120000. Its totient is φ = 2924549349120.

The previous prime is 11310025643509. The next prime is 11310025643669. The reversal of 11310025643532 is 23534652001311.

11310025643532 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 0 + 0 + 2 + 5 + 643 + 5 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6656871219 + ... + 6656872917.

It is an arithmetic number, because the mean of its divisors is an integer number (84357910000).

Almost surely, 2^{11310025643532} is an apocalyptic number.

11310025643532 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 11310025643532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221308560000).

11310025643532 is an abundant number, since it is smaller than the sum of its proper divisors (25132591476468).

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

11310025643532 is a wasteful number, since it uses less digits than its factorization.

11310025643532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3066 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 11310025643532 its reverse (23534652001311), we get a palindrome (34844677644843).

The spelling of 11310025643532 in words is "eleven trillion, three hundred ten billion, twenty-five million, six hundred forty-three thousand, five hundred thirty-two".