10510535420 has 96 divisors (see below), whose sum is σ = 27678260736. Its totient is φ = 3256992000.

The previous prime is 10510535389. The next prime is 10510535459. The reversal of 10510535420 is 2453501501.

It is a super-3 number, since 3×10510535420³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 10510535420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 246695 + ... + 286145.

It is an arithmetic number, because the mean of its divisors is an integer number (288315216).

Almost surely, 2^10510535420 is an apocalyptic number.

10510535420 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 10510535420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839130368).

10510535420 is an abundant number, since it is smaller than the sum of its proper divisors (17167725316).

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

10510535420 is a wasteful number, since it uses less digits than its factorization.

10510535420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39651 (or 39649 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The spelling of 10510535420 in words is "ten billion, five hundred ten million, five hundred thirty-five thousand, four hundred twenty".