10528953176064 has 416 divisors, whose sum is σ = 29105251983360. Its totient is φ = 3383592615936.

The previous prime is 10528953176003. The next prime is 10528953176083. The reversal of 10528953176064 is 46067135982501.

It is a super-2 number, since 2×10528953176064² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10528953175995 and 10528953176013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9686248929 + ... + 9686250015.

It is a 1-persistent number, because it is pandigital, but 2⋅10528953176064 = 21057906352128 is not.

Almost surely, 2^{10528953176064} 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 10528953176064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14552625991680).

10528953176064 is an abundant number, since it is smaller than the sum of its proper divisors (18576298807296).

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

10528953176064 is a wasteful number, since it uses less digits than its factorization.

10528953176064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 10528953176064 in words is "ten trillion, five hundred twenty-eight billion, nine hundred fifty-three million, one hundred seventy-six thousand, sixty-four".