10529575040 has 256 divisors, whose sum is σ = 27349056000. Its totient is φ = 3864526848.

The previous prime is 10529574947. The next prime is 10529575087. The reversal of 10529575040 is 4057592501.

It is a happy number.

It is a super-2 number, since 2×10529575040² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 10529574985 and 10529575003.

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 31 ways as a sum of consecutive naturals, for example, 93182024 + ... + 93182136.

It is an arithmetic number, because the mean of its divisors is an integer number (106832250).

Almost surely, 2^10529575040 is an apocalyptic number.

10529575040 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 10529575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13674528000).

10529575040 is an abundant number, since it is smaller than the sum of its proper divisors (16819480960).

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

10529575040 is a wasteful number, since it uses less digits than its factorization.

10529575040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 38.

The spelling of 10529575040 in words is "ten billion, five hundred twenty-nine million, five hundred seventy-five thousand, forty".