11006951251050 has 480 divisors, whose sum is σ = 33119192950272. Its totient is φ = 2699813099520.

The previous prime is 11006951251013. The next prime is 11006951251061. The reversal of 11006951251050 is 5015215960011.

11006951251050 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 6 + 95 + 1 + 2 + 510 + 50 = 666.

It is a super-2 number, since 2×11006951251050² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006951250996 and 11006951251014.

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 239 ways as a sum of consecutive naturals, for example, 2663184784 + ... + 2663188916.

Almost surely, 2^{11006951251050} is an apocalyptic number.

11006951251050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11006951251050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16559596475136).

11006951251050 is an abundant number, since it is smaller than the sum of its proper divisors (22112241699222).

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

11006951251050 is a wasteful number, since it uses less digits than its factorization.

11006951251050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 36.

The spelling of 11006951251050 in words is "eleven trillion, six billion, nine hundred fifty-one million, two hundred fifty-one thousand, fifty".