10766455577660 has 24 divisors (see below), whose sum is σ = 22612755419520. Its totient is φ = 4305972953664.

The previous prime is 10766455577659. The next prime is 10766455577707. The reversal of 10766455577660 is 6677555466701.

It is a happy number.

It is a super-2 number, since 2×10766455577660² (a number of 27 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37934924 + ... + 38217683.

It is an arithmetic number, because the mean of its divisors is an integer number (942198142480).

Almost surely, 2^{10766455577660} is an apocalyptic number.

10766455577660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766455577660 is an abundant number, since it is smaller than the sum of its proper divisors (11846299841860).

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

10766455577660 is a wasteful number, since it uses less digits than its factorization.

10766455577660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76159685 (or 76159683 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 65.

The spelling of 10766455577660 in words is "ten trillion, seven hundred sixty-six billion, four hundred fifty-five million, five hundred seventy-seven thousand, six hundred sixty".