11012545677630 has 256 divisors, whose sum is σ = 32658184765440. Its totient is φ = 2322241439232.

The previous prime is 11012545677611. The next prime is 11012545677647. The reversal of 11012545677630 is 3677654521011.

It is a self number, because there is not a number n which added to its sum of digits gives 11012545677630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14738839 + ... + 15467981.

It is an arithmetic number, because the mean of its divisors is an integer number (127571034240).

Almost surely, 2^{11012545677630} is an apocalyptic number.

11012545677630 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 11012545677630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329092382720).

11012545677630 is an abundant number, since it is smaller than the sum of its proper divisors (21645639087810).

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

11012545677630 is a wasteful number, since it uses less digits than its factorization.

11012545677630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729295.

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 11012545677630 in words is "eleven trillion, twelve billion, five hundred forty-five million, six hundred seventy-seven thousand, six hundred thirty".