11006646531620 has 48 divisors (see below), whose sum is σ = 23166879951600. Its totient is φ = 4392579416064.

The previous prime is 11006646531611. The next prime is 11006646531641. The reversal of 11006646531620 is 2613564660011.

It can be written as a sum of positive squares in 8 ways, for example, as 72196465636 + 10934450065984 = 268694^2 + 3306728^2 .

It is a super-2 number, since 2×11006646531620² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 205947542 + ... + 206000978.

It is an arithmetic number, because the mean of its divisors is an integer number (482643332325).

Almost surely, 2^{11006646531620} is an apocalyptic number.

11006646531620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11006646531620 is an abundant number, since it is smaller than the sum of its proper divisors (12160233419980).

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

11006646531620 is a wasteful number, since it uses less digits than its factorization.

11006646531620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76832 (or 76830 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The spelling of 11006646531620 in words is "eleven trillion, six billion, six hundred forty-six million, five hundred thirty-one thousand, six hundred twenty".