10405535220 has 72 divisors (see below), whose sum is σ = 31631300064. Its totient is φ = 2768845248.

The previous prime is 10405535207. The next prime is 10405535227. The reversal of 10405535220 is 2253550401.

It is a happy number.

10405535220 is a `hidden beast` number, since 1 + 0 + 40 + 553 + 52 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405535227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22167 + ... + 145953.

It is an arithmetic number, because the mean of its divisors is an integer number (439323612).

Almost surely, 2^10405535220 is an apocalyptic number.

10405535220 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 10405535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15815650032).

10405535220 is an abundant number, since it is smaller than the sum of its proper divisors (21225764844).

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

10405535220 is a wasteful number, since it uses less digits than its factorization.

10405535220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124269 (or 124264 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 10405535220 in words is "ten billion, four hundred five million, five hundred thirty-five thousand, two hundred twenty".