10867862880 has 288 divisors, whose sum is σ = 44248589280. Its totient is φ = 2484034560.

The previous prime is 10867862869. The next prime is 10867862899. The reversal of 10867862880 is 8826876801.

10867862880 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 7 + 8 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10867862880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 186010 + ... + 237350.

It is an arithmetic number, because the mean of its divisors is an integer number (153640935).

Almost surely, 2^10867862880 is an apocalyptic number.

10867862880 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 10867862880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22124294640).

10867862880 is an abundant number, since it is smaller than the sum of its proper divisors (33380726400).

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

10867862880 is a wasteful number, since it uses less digits than its factorization.

10867862880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51379 (or 51358 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 10867862880 in words is "ten billion, eight hundred sixty-seven million, eight hundred sixty-two thousand, eight hundred eighty".