10867604160 has 336 divisors, whose sum is σ = 40545812736. Its totient is φ = 2458810368.

The previous prime is 10867604129. The next prime is 10867604191. The reversal of 10867604160 is 6140676801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10867604129) and next prime (10867604191).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4843999 + ... + 4846241.

Almost surely, 2^10867604160 is an apocalyptic number.

10867604160 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 10867604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20272906368).

10867604160 is an abundant number, since it is smaller than the sum of its proper divisors (29678208576).

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

10867604160 is a wasteful number, since it uses less digits than its factorization.

10867604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 10867604160 in words is "ten billion, eight hundred sixty-seven million, six hundred four thousand, one hundred sixty".