10766451840 has 256 divisors, whose sum is σ = 37373616000. Its totient is φ = 2625896448.

The previous prime is 10766451809. The next prime is 10766451851. The reversal of 10766451840 is 4815466701.

It is a junction number, because it is equal to n+sod(n) for n = 10766451792 and 10766451801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052832 + ... + 1063008.

Almost surely, 2^10766451840 is an apocalyptic number.

10766451840 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 10766451840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18686808000).

10766451840 is an abundant number, since it is smaller than the sum of its proper divisors (26607164160).

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

10766451840 is a wasteful number, since it uses less digits than its factorization.

10766451840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10235 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 10766451840 in words is "ten billion, seven hundred sixty-six million, four hundred fifty-one thousand, eight hundred forty".