10656288990720 has 960 divisors, whose sum is σ = 39679730513280. Its totient is φ = 2638001405952.

The previous prime is 10656288990709. The next prime is 10656288990731. The reversal of 10656288990720 is 2709988265601.

It is an interprime number because it is at equal distance from previous prime (10656288990709) and next prime (10656288990731).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×10656288990720² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26842037562 + ... + 26842037958.

It is an arithmetic number, because the mean of its divisors is an integer number (41333052618).

Almost surely, 2^{10656288990720} is an apocalyptic number.

10656288990720 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 10656288990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19839865256640).

10656288990720 is an abundant number, since it is smaller than the sum of its proper divisors (29023441522560).

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

10656288990720 is an frugal number, since it uses more digits than its factorization.

10656288990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 10656288990720 in words is "ten trillion, six hundred fifty-six billion, two hundred eighty-eight million, nine hundred ninety thousand, seven hundred twenty".