10545793681528 has 128 divisors (see below), whose sum is σ = 23840928230400. Its totient is φ = 4272146095104.

The previous prime is 10545793681499. The next prime is 10545793681537. The reversal of 10545793681528 is 82518639754501.

It is a super-2 number, since 2×10545793681528² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10545793681528.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 917259076 + ... + 917270572.

It is an arithmetic number, because the mean of its divisors is an integer number (186257251800).

It is a 1-persistent number, because it is pandigital, but 2⋅10545793681528 = 21091587363056 is not.

Almost surely, 2^{10545793681528} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10545793681528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11920464115200).

10545793681528 is an abundant number, since it is smaller than the sum of its proper divisors (13295134548872).

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

10545793681528 is a wasteful number, since it uses less digits than its factorization.

10545793681528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13389 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 72576000, while the sum is 64.

The spelling of 10545793681528 in words is "ten trillion, five hundred forty-five billion, seven hundred ninety-three million, six hundred eighty-one thousand, five hundred twenty-eight".