13867087872 has 288 divisors, whose sum is σ = 42455387520. Its totient is φ = 4014489600.

The previous prime is 13867087859. The next prime is 13867087903. The reversal of 13867087872 is 27878076831.

It is a super-2 number, since 2×13867087872² (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, 17098347 + ... + 17099157.

It is an arithmetic number, because the mean of its divisors is an integer number (147414540).

Almost surely, 2^13867087872 is an apocalyptic number.

13867087872 is a gapful number since it is divisible by the number (12) 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 13867087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21227693760).

13867087872 is an abundant number, since it is smaller than the sum of its proper divisors (28588299648).

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

13867087872 is a wasteful number, since it uses less digits than its factorization.

13867087872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 57.

The spelling of 13867087872 in words is "thirteen billion, eight hundred sixty-seven million, eighty-seven thousand, eight hundred seventy-two".