11638479532770 has 64 divisors (see below), whose sum is σ = 31043609642880. Its totient is φ = 3102828120000.

The previous prime is 11638479532769. The next prime is 11638479532787. The reversal of 11638479532770 is 7723597483611.

11638479532770 is a `hidden beast` number, since 1 + 1 + 63 + 8 + 479 + 5 + 32 + 7 + 70 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11638479532698 and 11638479532707.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4226581 + ... + 6414120.

It is an arithmetic number, because the mean of its divisors is an integer number (485056400670).

It is a 1-persistent number, because it is pandigital, but 2⋅11638479532770 = 23276959065540 is not.

Almost surely, 2^{11638479532770} is an apocalyptic number.

11638479532770 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11638479532770 is an abundant number, since it is smaller than the sum of its proper divisors (19405130110110).

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

11638479532770 is a wasteful number, since it uses less digits than its factorization.

11638479532770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10644768 (or 10644762 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 11638479532770 in words is "eleven trillion, six hundred thirty-eight billion, four hundred seventy-nine million, five hundred thirty-two thousand, seven hundred seventy".