13871533500 has 576 divisors, whose sum is σ = 50484155904. Its totient is φ = 3297024000.

The previous prime is 13871533463. The next prime is 13871533591. The reversal of 13871533500 is 533517831.

It is a happy number.

13871533500 is a `hidden beast` number, since 1 + 3 + 8 + 71 + 533 + 50 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129640447 + ... + 129640553.

It is an arithmetic number, because the mean of its divisors is an integer number (87646104).

Almost surely, 2^13871533500 is an apocalyptic number.

13871533500 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 13871533500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25242077952).

13871533500 is an abundant number, since it is smaller than the sum of its proper divisors (36612622404).

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

13871533500 is a wasteful number, since it uses less digits than its factorization.

13871533500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 13871533500 in words is "thirteen billion, eight hundred seventy-one million, five hundred thirty-three thousand, five hundred".