10591691341824 has 364 divisors, whose sum is σ = 31833894470406. Its totient is φ = 3522410053632.

The previous prime is 10591691341801. The next prime is 10591691341837. The reversal of 10591691341824 is 42814319619501.

10591691341824 is a `hidden beast` number, since 1 + 0 + 59 + 169 + 13 + 418 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10285926580224 + 305764761600 = 3207168^2 + 552960^2 .

It is a super-2 number, since 2×10591691341824² (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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 24461180712 + ... + 24461181144.

Almost surely, 2^{10591691341824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10591691341824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15916947235203).

10591691341824 is an abundant number, since it is smaller than the sum of its proper divisors (21242203128582).

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

10591691341824 is an frugal number, since it uses more digits than its factorization.

10591691341824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 10591691341824 in words is "ten trillion, five hundred ninety-one billion, six hundred ninety-one million, three hundred forty-one thousand, eight hundred twenty-four".