10656399360 has 240 divisors, whose sum is σ = 34463544192. Its totient is φ = 2811494400.

The previous prime is 10656399311. The next prime is 10656399361. The reversal of 10656399360 is 6399365601.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10656399360² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10656399361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32194395 + ... + 32194725.

Almost surely, 2^10656399360 is an apocalyptic number.

10656399360 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 10656399360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17231772096).

10656399360 is an abundant number, since it is smaller than the sum of its proper divisors (23807144832).

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

10656399360 is an equidigital number, since it uses as much as digits as its factorization.

10656399360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 48.

The spelling of 10656399360 in words is "ten billion, six hundred fifty-six million, three hundred ninety-nine thousand, three hundred sixty".