10905934966760 has 128 divisors (see below), whose sum is σ = 26230290134400. Its totient is φ = 4066614190080.

The previous prime is 10905934966757. The next prime is 10905934966793. The reversal of 10905934966760 is 6766943950901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46471796 + ... + 46705884.

It is an arithmetic number, because the mean of its divisors is an integer number (204924141675).

Almost surely, 2^{10905934966760} is an apocalyptic number.

10905934966760 is a gapful number since it is divisible by the number (10) 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 10905934966760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13115145067200).

10905934966760 is an abundant number, since it is smaller than the sum of its proper divisors (15324355167640).

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

10905934966760 is a wasteful number, since it uses less digits than its factorization.

10905934966760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234771 (or 234767 counting only the distinct ones).

The product of its (nonzero) digits is 66134880, while the sum is 65.

The spelling of 10905934966760 in words is "ten trillion, nine hundred five billion, nine hundred thirty-four million, nine hundred sixty-six thousand, seven hundred sixty".