10565646153216 has 1280 divisors, whose sum is σ = 37856930715648. Its totient is φ = 2555951185920.

The previous prime is 10565646153149. The next prime is 10565646153323. The reversal of 10565646153216 is 61235164656501.

It is a super-2 number, since 2×10565646153216² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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 127 ways as a sum of consecutive naturals, for example, 33330113890 + ... + 33330114206.

Almost surely, 2^{10565646153216} is an apocalyptic number.

10565646153216 is a gapful number since it is divisible by the number (16) 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 10565646153216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18928465357824).

10565646153216 is an abundant number, since it is smaller than the sum of its proper divisors (27291284562432).

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

10565646153216 is a wasteful number, since it uses less digits than its factorization.

10565646153216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 51.

The spelling of 10565646153216 in words is "ten trillion, five hundred sixty-five billion, six hundred forty-six million, one hundred fifty-three thousand, two hundred sixteen".