10734559143768 has 160 divisors (see below), whose sum is σ = 30159334022400. Its totient is φ = 3567168787392.

The previous prime is 10734559143719. The next prime is 10734559143769. The reversal of 10734559143768 is 86734195543701.

10734559143768 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 4 + 5 + 591 + 4 + 37 + 6 + 8 = 666.

10734559143768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10734559143768² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10734559143769) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1573286805 + ... + 1573293627.

It is an arithmetic number, because the mean of its divisors is an integer number (188495837640).

Almost surely, 2^{10734559143768} is an apocalyptic number.

10734559143768 is a gapful number since it is divisible by the number (18) 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 10734559143768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079667011200).

10734559143768 is an abundant number, since it is smaller than the sum of its proper divisors (19424774878632).

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

10734559143768 is a wasteful number, since it uses less digits than its factorization.

10734559143768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13950 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 10734559143768 in words is "ten trillion, seven hundred thirty-four billion, five hundred fifty-nine million, one hundred forty-three thousand, seven hundred sixty-eight".