13867560960 has 624 divisors, whose sum is σ = 52143512832. Its totient is φ = 3119513600.

The previous prime is 13867560923. The next prime is 13867560991. The reversal of 13867560960 is 6906576831.

It is a super-2 number, since 2×13867560960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195317725 + ... + 195317795.

Almost surely, 2^13867560960 is an apocalyptic number.

13867560960 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 13867560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26071756416).

13867560960 is an abundant number, since it is smaller than the sum of its proper divisors (38275951872).

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

13867560960 is a wasteful number, since it uses less digits than its factorization.

13867560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 13867560960 in words is "thirteen billion, eight hundred sixty-seven million, five hundred sixty thousand, nine hundred sixty".