11005916742 has 32 divisors (see below), whose sum is σ = 24472447200. Its totient is φ = 3666410784.

The previous prime is 11005916741. The next prime is 11005916777. The reversal of 11005916742 is 24761950011.

11005916742 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 591 + 67 + 4 + 2 = 666.

It is a super-2 number, since 2×11005916742² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11005916697 and 11005916706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005916741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29068 + ... + 151184.

It is an arithmetic number, because the mean of its divisors is an integer number (764763975).

Almost surely, 2^11005916742 is an apocalyptic number.

11005916742 is an abundant number, since it is smaller than the sum of its proper divisors (13466530458).

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

11005916742 is a wasteful number, since it uses less digits than its factorization.

11005916742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123797 (or 123791 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 11005916742 in words is "eleven billion, five million, nine hundred sixteen thousand, seven hundred forty-two".