11427975659520 has 1152 divisors, whose sum is σ = 46747856332800. Its totient is φ = 2594697117696.

The previous prime is 11427975659509. The next prime is 11427975659521. The reversal of 11427975659520 is 2595657972411.

It is a happy number.

11427975659520 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 7 + 9 + 7 + 56 + 59 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11427975659521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31832801101 + ... + 31832801459.

It is an arithmetic number, because the mean of its divisors is an integer number (40579736400).

Almost surely, 2^{11427975659520} is an apocalyptic number.

11427975659520 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 11427975659520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23373928166400).

11427975659520 is an abundant number, since it is smaller than the sum of its proper divisors (35319880673280).

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

11427975659520 is an frugal number, since it uses more digits than its factorization.

11427975659520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 63.

The spelling of 11427975659520 in words is "eleven trillion, four hundred twenty-seven billion, nine hundred seventy-five million, six hundred fifty-nine thousand, five hundred twenty".