10564777230336 has 240 divisors, whose sum is σ = 35773825745280. Its totient is φ = 3018506895360.

The previous prime is 10564777230323. The next prime is 10564777230341. The reversal of 10564777230336 is 63303277746501.

10564777230336 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 4 + 7 + 77 + 230 + 336 = 666.

It is a super-2 number, since 2×10564777230336² (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1390696 + ... + 4802456.

It is an arithmetic number, because the mean of its divisors is an integer number (149057607272).

Almost surely, 2^{10564777230336} is an apocalyptic number.

10564777230336 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 10564777230336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17886912872640).

10564777230336 is an abundant number, since it is smaller than the sum of its proper divisors (25209048514944).

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

10564777230336 is an frugal number, since it uses more digits than its factorization.

10564777230336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411805 (or 3411773 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 54.

The spelling of 10564777230336 in words is "ten trillion, five hundred sixty-four billion, seven hundred seventy-seven million, two hundred thirty thousand, three hundred thirty-six".