12867151360 has 320 divisors, whose sum is σ = 36726649344. Its totient is φ = 4231987200.

The previous prime is 12867151351. The next prime is 12867151387. The reversal of 12867151360 is 6315176821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×12867151360³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60981655 + ... + 60981865.

Almost surely, 2^12867151360 is an apocalyptic number.

12867151360 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 12867151360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18363324672).

12867151360 is an abundant number, since it is smaller than the sum of its proper divisors (23859497984).

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

12867151360 is an equidigital number, since it uses as much as digits as its factorization.

12867151360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 12867151360 in words is "twelve billion, eight hundred sixty-seven million, one hundred fifty-one thousand, three hundred sixty".