13855286500 has 288 divisors, whose sum is σ = 35292348000. Its totient is φ = 4740736000.

The previous prime is 13855286479. The next prime is 13855286509. The reversal of 13855286500 is 568255831.

It can be written as a sum of positive squares in 16 ways, for example, as 10888087716 + 2967198784 = 104346^2 + 54472^2 .

It is a super-4 number, since 4×13855286500⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (13855286509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92988426 + ... + 92988574.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 2^13855286500 is an apocalyptic number.

13855286500 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 13855286500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17646174000).

13855286500 is an abundant number, since it is smaller than the sum of its proper divisors (21437061500).

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

13855286500 is a wasteful number, since it uses less digits than its factorization.

13855286500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 43.

The spelling of 13855286500 in words is "thirteen billion, eight hundred fifty-five million, two hundred eighty-six thousand, five hundred".