10766010000 has 100 divisors (see below), whose sum is σ = 34754212592. Its totient is φ = 2870928000.

The previous prime is 10766009999. The next prime is 10766010001. The reversal of 10766010000 is 1066701.

It is an interprime number because it is at equal distance from previous prime (10766009999) and next prime (10766010001).

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (10766010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149434 + ... + 209433.

Almost surely, 2^10766010000 is an apocalyptic number.

10766010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766010000 is an abundant number, since it is smaller than the sum of its proper divisors (23988202592).

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

10766010000 is an equidigital number, since it uses as much as digits as its factorization.

10766010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358898 (or 358877 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

Adding to 10766010000 its reverse (1066701), we get a palindrome (10767076701).

The spelling of 10766010000 in words is "ten billion, seven hundred sixty-six million, ten thousand".