13827286900 has 72 divisors (see below), whose sum is σ = 35128126656. Its totient is φ = 4625145600.

The previous prime is 13827286829. The next prime is 13827286943. The reversal of 13827286900 is 968272831.

It is a super-2 number, since 2×13827286900² (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 23 ways as a sum of consecutive naturals, for example, 212194 + ... + 269593.

It is an arithmetic number, because the mean of its divisors is an integer number (487890648).

Almost surely, 2^13827286900 is an apocalyptic number.

13827286900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13827286900 is an abundant number, since it is smaller than the sum of its proper divisors (21300839756).

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

13827286900 is a wasteful number, since it uses less digits than its factorization.

13827286900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481849 (or 481842 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 13827286900 in words is "thirteen billion, eight hundred twenty-seven million, two hundred eighty-six thousand, nine hundred".