10955877660 has 864 divisors, whose sum is σ = 45174205440. Its totient is φ = 2123283456.

The previous prime is 10955877649. The next prime is 10955877677. The reversal of 10955877660 is 6677855901.

10955877660 is a `hidden beast` number, since 10 + 9 + 558 + 7 + 76 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10955877597 and 10955877606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 102391327 + ... + 102391433.

It is an arithmetic number, because the mean of its divisors is an integer number (52284960).

Almost surely, 2^10955877660 is an apocalyptic number.

10955877660 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 10955877660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22587102720).

10955877660 is an abundant number, since it is smaller than the sum of its proper divisors (34218327780).

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

10955877660 is a wasteful number, since it uses less digits than its factorization.

10955877660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 10955877660 in words is "ten billion, nine hundred fifty-five million, eight hundred seventy-seven thousand, six hundred sixty".