11652713856 has 192 divisors, whose sum is σ = 38952045600. Its totient is φ = 3274629120.

The previous prime is 11652713837. The next prime is 11652713923. The reversal of 11652713856 is 65831725611.

11652713856 is a `hidden beast` number, since 116 + 527 + 1 + 3 + 8 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 480060 + ... + 503748.

Almost surely, 2^11652713856 is an apocalyptic number.

11652713856 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 11652713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19476022800).

11652713856 is an abundant number, since it is smaller than the sum of its proper divisors (27299331744).

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

11652713856 is a wasteful number, since it uses less digits than its factorization.

11652713856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23777 (or 23762 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The spelling of 11652713856 in words is "eleven billion, six hundred fifty-two million, seven hundred thirteen thousand, eight hundred fifty-six".