10529385027840 has 864 divisors, whose sum is σ = 43883849318400. Its totient is φ = 2277051678720.

The previous prime is 10529385027839. The next prime is 10529385027853. The reversal of 10529385027840 is 4872058392501.

10529385027840 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 93 + 8 + 502 + 7 + 8 + 40 = 666.

It is a super-2 number, since 2×10529385027840² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285478145 + ... + 1285486335.

Almost surely, 2^{10529385027840} is an apocalyptic number.

10529385027840 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 10529385027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21941924659200).

10529385027840 is an abundant number, since it is smaller than the sum of its proper divisors (33354464290560).

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

10529385027840 is a wasteful number, since it uses less digits than its factorization.

10529385027840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9083 (or 9066 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10529385027840 in words is "ten trillion, five hundred twenty-nine billion, three hundred eighty-five million, twenty-seven thousand, eight hundred forty".