10641765120 has 432 divisors, whose sum is σ = 41271793920. Its totient is φ = 2325700608.

The previous prime is 10641765109. The next prime is 10641765131. The reversal of 10641765120 is 2156714601.

It is an interprime number because it is at equal distance from previous prime (10641765109) and next prime (10641765131).

It is a super-3 number, since 3×10641765120³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4326451 + ... + 4328909.

It is an arithmetic number, because the mean of its divisors is an integer number (95536560).

Almost surely, 2^10641765120 is an apocalyptic number.

10641765120 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 10641765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20635896960).

10641765120 is an abundant number, since it is smaller than the sum of its proper divisors (30630028800).

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

10641765120 is a wasteful number, since it uses less digits than its factorization.

10641765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2520 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10641765120 in words is "ten billion, six hundred forty-one million, seven hundred sixty-five thousand, one hundred twenty".