11650050106002 has 192 divisors, whose sum is σ = 32207041152000. Its totient is φ = 2955164688000.

The previous prime is 11650050105983. The next prime is 11650050106033. The reversal of 11650050106002 is 20060105005611.

It is a happy number.

11650050106002 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 0 + 50 + 1 + 0 + 600 + 2 = 666.

It is a super-2 number, since 2×11650050106002² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 581010877 + ... + 581030927.

It is an arithmetic number, because the mean of its divisors is an integer number (167745006000).

Almost surely, 2^{11650050106002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11650050106002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16103520576000).

11650050106002 is an abundant number, since it is smaller than the sum of its proper divisors (20556991045998).

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

11650050106002 is a wasteful number, since it uses less digits than its factorization.

11650050106002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29869 (or 29866 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 11650050106002 in words is "eleven trillion, six hundred fifty billion, fifty million, one hundred six thousand, two".