11006646535050 has 288 divisors, whose sum is σ = 28870584164352. Its totient is φ = 2769769537920.

The previous prime is 11006646535021. The next prime is 11006646535051. The reversal of 11006646535050 is 5053564660011.

It is a super-2 number, since 2×11006646535050² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006646534993 and 11006646535011.

It is not an unprimeable number, because it can be changed into a prime (11006646535051) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12408845707 + ... + 12408846593.

It is an arithmetic number, because the mean of its divisors is an integer number (100245083904).

Almost surely, 2^{11006646535050} is an apocalyptic number.

11006646535050 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 11006646535050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435292082176).

11006646535050 is an abundant number, since it is smaller than the sum of its proper divisors (17863937629302).

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

11006646535050 is a wasteful number, since it uses less digits than its factorization.

11006646535050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1402 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 11006646535050 in words is "eleven trillion, six billion, six hundred forty-six million, five hundred thirty-five thousand, fifty".