10668556811520 has 1440 divisors, whose sum is σ = 42501105884160. Its totient is φ = 2544058368000.

The previous prime is 10668556811509. The next prime is 10668556811543. The reversal of 10668556811520 is 2511865586601.

10668556811520 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 55 + 68 + 1 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×10668556811520³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2503766190 + ... + 2503770450.

It is an arithmetic number, because the mean of its divisors is an integer number (29514656864).

Almost surely, 2^{10668556811520} is an apocalyptic number.

10668556811520 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 10668556811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250552942080).

10668556811520 is an abundant number, since it is smaller than the sum of its proper divisors (31832549072640).

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

10668556811520 is a wasteful number, since it uses less digits than its factorization.

10668556811520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 10668556811520 in words is "ten trillion, six hundred sixty-eight billion, five hundred fifty-six million, eight hundred eleven thousand, five hundred twenty".