10867246080 has 352 divisors, whose sum is σ = 38201932800. Its totient is φ = 2624421888.

The previous prime is 10867246031. The next prime is 10867246127. The reversal of 10867246080 is 8064276801.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 6711511 + ... + 6713129.

Almost surely, 2^10867246080 is an apocalyptic number.

10867246080 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 10867246080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19100966400).

10867246080 is an abundant number, since it is smaller than the sum of its proper divisors (27334686720).

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

10867246080 is a wasteful number, since it uses less digits than its factorization.

10867246080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 10867246080 in words is "ten billion, eight hundred sixty-seven million, two hundred forty-six thousand, eighty".