10011066907842 has 512 divisors, whose sum is σ = 30143918407680. Its totient is φ = 2378336256000.

The previous prime is 10011066907799. The next prime is 10011066907843. The reversal of 10011066907842 is 24870966011001.

It is not an unprimeable number, because it can be changed into a prime (10011066907843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2827184592 + ... + 2827188132.

It is an arithmetic number, because the mean of its divisors is an integer number (58874840640).

Almost surely, 2^{10011066907842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011066907842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15071959203840).

10011066907842 is an abundant number, since it is smaller than the sum of its proper divisors (20132851499838).

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

10011066907842 is a wasteful number, since it uses less digits than its factorization.

10011066907842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4047 (or 4041 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 10011066907842 in words is "ten trillion, eleven billion, sixty-six million, nine hundred seven thousand, eight hundred forty-two".