10538267220 has 72 divisors (see below), whose sum is σ = 34425013896. Its totient is φ = 2594034432.

The previous prime is 10538267203. The next prime is 10538267231. The reversal of 10538267220 is 2276283501.

10538267220 is a `hidden beast` number, since 10 + 538 + 26 + 72 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 315843984 + 10222423236 = 17772^2 + 101106^2 .

It is a super-2 number, since 2×10538267220² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2249427 + ... + 2254106.

It is an arithmetic number, because the mean of its divisors is an integer number (478125193).

Almost surely, 2^10538267220 is an apocalyptic number.

10538267220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10538267220 is an abundant number, since it is smaller than the sum of its proper divisors (23886746676).

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

10538267220 is a wasteful number, since it uses less digits than its factorization.

10538267220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4503561 (or 4503556 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 10538267220 in words is "ten billion, five hundred thirty-eight million, two hundred sixty-seven thousand, two hundred twenty".