10528272578000 has 80 divisors (see below), whose sum is σ = 26335203345360. Its totient is φ = 4066091456000.

The previous prime is 10528272577969. The next prime is 10528272578017. The reversal of 10528272578000 is 87527282501.

It can be written as a sum of positive squares in 8 ways, for example, as 6497156298304 + 4031116279696 = 2548952^2 + 2007764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10528272578000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90702971 + ... + 90818970.

It is an arithmetic number, because the mean of its divisors is an integer number (329190041817).

Almost surely, 2^{10528272578000} is an apocalyptic number.

10528272578000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10528272578000 is an abundant number, since it is smaller than the sum of its proper divisors (15806930767360).

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

10528272578000 is a wasteful number, since it uses less digits than its factorization.

10528272578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181521993 (or 181521977 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 47.

The spelling of 10528272578000 in words is "ten trillion, five hundred twenty-eight billion, two hundred seventy-two million, five hundred seventy-eight thousand".