10529358048 has 576 divisors, whose sum is σ = 36679910400. Its totient is φ = 2927232000.

The previous prime is 10529358043. The next prime is 10529358067. The reversal of 10529358048 is 84085392501.

10529358048 is a `hidden beast` number, since 1 + 0 + 5 + 29 + 3 + 580 + 48 = 666.

It is a super-2 number, since 2×10529358048² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10529357994 and 10529358012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10529358043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69730773 + ... + 69730923.

It is an arithmetic number, because the mean of its divisors is an integer number (63680400).

Almost surely, 2^10529358048 is an apocalyptic number.

10529358048 is a gapful number since it is divisible by the number (18) 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 10529358048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18339955200).

10529358048 is an abundant number, since it is smaller than the sum of its proper divisors (26150552352).

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

10529358048 is a wasteful number, since it uses less digits than its factorization.

10529358048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10529358048 in words is "ten billion, five hundred twenty-nine million, three hundred fifty-eight thousand, forty-eight".