10535550135520 has 96 divisors (see below), whose sum is σ = 25066292529600. Its totient is φ = 4184466210816.

The previous prime is 10535550135497. The next prime is 10535550135527. The reversal of 10535550135520 is 2553105553501.

It is a super-2 number, since 2×10535550135520² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10535550135527) 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, 24610666 + ... + 25035094.

It is an arithmetic number, because the mean of its divisors is an integer number (261107213850).

Almost surely, 2^{10535550135520} is an apocalyptic number.

10535550135520 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 10535550135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12533146264800).

10535550135520 is an abundant number, since it is smaller than the sum of its proper divisors (14530742394080).

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

10535550135520 is a wasteful number, since it uses less digits than its factorization.

10535550135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425540 (or 425532 counting only the distinct ones).

The product of its (nonzero) digits is 281250, while the sum is 40.

The spelling of 10535550135520 in words is "ten trillion, five hundred thirty-five billion, five hundred fifty million, one hundred thirty-five thousand, five hundred twenty".