11681637628752 has 480 divisors, whose sum is σ = 40418261065728. Its totient is φ = 3067006685184.

The previous prime is 11681637628733. The next prime is 11681637628777. The reversal of 11681637628752 is 25782673618611.

It is a happy number.

11681637628752 is a `hidden beast` number, since 1 + 168 + 16 + 376 + 28 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11681637628752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3076542118 + ... + 3076545914.

Almost surely, 2^{11681637628752} is an apocalyptic number.

11681637628752 is a gapful number since it is divisible by the number (12) 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 11681637628752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20209130532864).

11681637628752 is an abundant number, since it is smaller than the sum of its proper divisors (28736623436976).

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

11681637628752 is a wasteful number, since it uses less digits than its factorization.

11681637628752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4827 (or 4818 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 63.

It can be divided in two parts, 1168163 and 7628752, that added together give a triangular number (8796915 = T₄₁₉₄).

The spelling of 11681637628752 in words is "eleven trillion, six hundred eighty-one billion, six hundred thirty-seven million, six hundred twenty-eight thousand, seven hundred fifty-two".