10538616800 has 36 divisors (see below), whose sum is σ = 25727400216. Its totient is φ = 4215446400.

The previous prime is 10538616743. The next prime is 10538616839. The reversal of 10538616800 is 861683501.

It is a happy number.

It is a super-3 number, since 3×10538616800³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6585836 + ... + 6587435.

It is an arithmetic number, because the mean of its divisors is an integer number (714650006).

Almost surely, 2^10538616800 is an apocalyptic number.

10538616800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10538616800 is an abundant number, since it is smaller than the sum of its proper divisors (15188783416).

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

10538616800 is a wasteful number, since it uses less digits than its factorization.

10538616800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13173291 (or 13173278 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10538616800 in words is "ten billion, five hundred thirty-eight million, six hundred sixteen thousand, eight hundred".