11633713827060 has 96 divisors (see below), whose sum is σ = 36926443935360. Its totient is φ = 2712963220992.

The previous prime is 11633713827031. The next prime is 11633713827119. The reversal of 11633713827060 is 6072831733611.

11633713827060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 392485647 + ... + 392515286.

It is an arithmetic number, because the mean of its divisors is an integer number (384650457660).

Almost surely, 2^{11633713827060} is an apocalyptic number.

11633713827060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11633713827060 is an abundant number, since it is smaller than the sum of its proper divisors (25292730108300).

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

11633713827060 is a wasteful number, since it uses less digits than its factorization.

11633713827060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785000977 (or 785000975 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The spelling of 11633713827060 in words is "eleven trillion, six hundred thirty-three billion, seven hundred thirteen million, eight hundred twenty-seven thousand, sixty".