10535838528 has 112 divisors (see below), whose sum is σ = 29126054016. Its totient is φ = 3354869760.

The previous prime is 10535838527. The next prime is 10535838557. The reversal of 10535838528 is 82583853501.

It is a super-2 number, since 2×10535838528² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535838527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6009300 + ... + 6011052.

Almost surely, 2^10535838528 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 10535838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563027008).

10535838528 is an abundant number, since it is smaller than the sum of its proper divisors (18590215488).

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

10535838528 is a wasteful number, since it uses less digits than its factorization.

10535838528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3142 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 48.

The spelling of 10535838528 in words is "ten billion, five hundred thirty-five million, eight hundred thirty-eight thousand, five hundred twenty-eight".