11571630606816 has 192 divisors, whose sum is σ = 35567535144960. Its totient is φ = 3225428559360.

The previous prime is 11571630606779. The next prime is 11571630606869. The reversal of 11571630606816 is 61860603617511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9233595 + ... + 10411653.

It is an arithmetic number, because the mean of its divisors is an integer number (185247578880).

Almost surely, 2^{11571630606816} is an apocalyptic number.

11571630606816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11571630606816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17783767572480).

11571630606816 is an abundant number, since it is smaller than the sum of its proper divisors (23995904538144).

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

11571630606816 is a wasteful number, since it uses less digits than its factorization.

11571630606816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178437 (or 1178429 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 11571630606816 in words is "eleven trillion, five hundred seventy-one billion, six hundred thirty million, six hundred six thousand, eight hundred sixteen".