11158905752064 has 480 divisors, whose sum is σ = 40178283425280. Its totient is φ = 3020451213312.

The previous prime is 11158905752039. The next prime is 11158905752077. The reversal of 11158905752064 is 46025750985111.

11158905752064 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 8 + 9 + 0 + 57 + 520 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11158905752064.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16210147 + ... + 16884509.

It is an arithmetic number, because the mean of its divisors is an integer number (83704757136).

Almost surely, 2^{11158905752064} is an apocalyptic number.

11158905752064 is a gapful number since it is divisible by the number (14) 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 11158905752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20089141712640).

11158905752064 is an abundant number, since it is smaller than the sum of its proper divisors (29019377673216).

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

11158905752064 is an frugal number, since it uses more digits than its factorization.

11158905752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674422 (or 674394 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 54.

The spelling of 11158905752064 in words is "eleven trillion, one hundred fifty-eight billion, nine hundred five million, seven hundred fifty-two thousand, sixty-four".