10528589060192 has 96 divisors (see below), whose sum is σ = 23972614848000. Its totient is φ = 4458487799808.

The previous prime is 10528589060189. The next prime is 10528589060257. The reversal of 10528589060192 is 29106098582501.

It is a happy number.

It is a super-2 number, since 2×10528589060192² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

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 15 ways as a sum of consecutive naturals, for example, 9851159 + ... + 10867497.

It is an arithmetic number, because the mean of its divisors is an integer number (249714738000).

Almost surely, 2^{10528589060192} 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 10528589060192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11986307424000).

10528589060192 is an abundant number, since it is smaller than the sum of its proper divisors (13444025787808).

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

10528589060192 is a wasteful number, since it uses less digits than its factorization.

10528589060192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016908 (or 1016900 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 56.

The spelling of 10528589060192 in words is "ten trillion, five hundred twenty-eight billion, five hundred eighty-nine million, sixty thousand, one hundred ninety-two".