10867884040 has 64 divisors (see below), whose sum is σ = 26470407600. Its totient is φ = 3991928832.

The previous prime is 10867884037. The next prime is 10867884091. The reversal of 10867884040 is 4048876801.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 92198404 + 10775685636 = 9602^2 + 103806^2 .

It is a super-2 number, since 2×10867884040² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46216 + ... + 154504.

Almost surely, 2^10867884040 is an apocalyptic number.

10867884040 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 10867884040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235203800).

10867884040 is an abundant number, since it is smaller than the sum of its proper divisors (15602523560).

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

10867884040 is a wasteful number, since it uses less digits than its factorization.

10867884040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108506 (or 108502 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 10867884040 in words is "ten billion, eight hundred sixty-seven million, eight hundred eighty-four thousand, forty".