10666351584 has 288 divisors, whose sum is σ = 35992180224. Its totient is φ = 2933038080.

The previous prime is 10666351573. The next prime is 10666351609. The reversal of 10666351584 is 48515366601.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-4 number, since 4×10666351584⁴ (a number of 41 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6153982 + ... + 6155714.

It is an arithmetic number, because the mean of its divisors is an integer number (124972848).

Almost surely, 2^10666351584 is an apocalyptic number.

10666351584 is a gapful number since it is divisible by the number (14) 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 10666351584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17996090112).

10666351584 is an abundant number, since it is smaller than the sum of its proper divisors (25325828640).

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

10666351584 is a wasteful number, since it uses less digits than its factorization.

10666351584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1870 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 10666351584 in words is "ten billion, six hundred sixty-six million, three hundred fifty-one thousand, five hundred eighty-four".