11652630633560 has 192 divisors, whose sum is σ = 31506900480000. Its totient is φ = 3863352810240.

The previous prime is 11652630633547. The next prime is 11652630633577. The reversal of 11652630633560 is 6533603625611.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80069741 + ... + 80215139.

It is an arithmetic number, because the mean of its divisors is an integer number (164098440000).

Almost surely, 2^{11652630633560} is an apocalyptic number.

11652630633560 is a gapful number since it is divisible by the number (10) 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 11652630633560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15753450240000).

11652630633560 is an abundant number, since it is smaller than the sum of its proper divisors (19854269846440).

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

11652630633560 is a wasteful number, since it uses less digits than its factorization.

11652630633560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146774 (or 146763 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 47.

The spelling of 11652630633560 in words is "eleven trillion, six hundred fifty-two billion, six hundred thirty million, six hundred thirty-three thousand, five hundred sixty".