10760671005160 has 16 divisors (see below), whose sum is σ = 24211509761700. Its totient is φ = 4304268402048.

The previous prime is 10760671005101. The next prime is 10760671005187. The reversal of 10760671005160 is 6150017606701.

10760671005160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9818408632356 + 942262372804 = 3133434^2 + 970702^2 .

It is a super-2 number, since 2×10760671005160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 269016775129 = 10760671005160 / (1 + 0 + 7 + 6 + 0 + 6 + 7 + 1 + 0 + 0 + 5 + 1 + 6 + 0).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 134508387525 + ... + 134508387604.

Almost surely, 2^{10760671005160} is an apocalyptic number.

10760671005160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10760671005160 is an abundant number, since it is smaller than the sum of its proper divisors (13450838756540).

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

10760671005160 is a wasteful number, since it uses less digits than its factorization.

10760671005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269016775140 (or 269016775136 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 10760671005160 in words is "ten trillion, seven hundred sixty billion, six hundred seventy-one million, five thousand, one hundred sixty".