10766401520 has 120 divisors (see below), whose sum is σ = 29554050384. Its totient is φ = 3636154368.

The previous prime is 10766401493. The next prime is 10766401561. The reversal of 10766401520 is 2510466701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242144 + ... + 283136.

Almost surely, 2^10766401520 is an apocalyptic number.

10766401520 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 10766401520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14777025192).

10766401520 is an abundant number, since it is smaller than the sum of its proper divisors (18787648864).

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

10766401520 is a wasteful number, since it uses less digits than its factorization.

10766401520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41087 (or 41074 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 10766401520 in words is "ten billion, seven hundred sixty-six million, four hundred one thousand, five hundred twenty".