10535506420 has 48 divisors (see below), whose sum is σ = 22911689808. Its totient is φ = 4066882560.

The previous prime is 10535506391. The next prime is 10535506559. The reversal of 10535506420 is 2460553501.

It can be written as a sum of positive squares in 8 ways, for example, as 1835094244 + 8700412176 = 42838^2 + 93276^2 .

It is a super-2 number, since 2×10535506420² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16809 + ... + 146128.

It is an arithmetic number, because the mean of its divisors is an integer number (477326871).

Almost surely, 2^10535506420 is an apocalyptic number.

10535506420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10535506420 is an abundant number, since it is smaller than the sum of its proper divisors (12376183388).

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

10535506420 is a wasteful number, since it uses less digits than its factorization.

10535506420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163060 (or 163058 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 10535506420 in words is "ten billion, five hundred thirty-five million, five hundred six thousand, four hundred twenty".