10866072240 has 200 divisors, whose sum is σ = 39959853120. Its totient is φ = 2727143424.

The previous prime is 10866072233. The next prime is 10866072271. The reversal of 10866072240 is 4227066801.

10866072240 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 607 + 2 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10866072195 and 10866072204.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 60841 + ... + 159479.

Almost surely, 2^10866072240 is an apocalyptic number.

10866072240 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 10866072240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19979926560).

10866072240 is an abundant number, since it is smaller than the sum of its proper divisors (29093780880).

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

10866072240 is a wasteful number, since it uses less digits than its factorization.

10866072240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98681 (or 98666 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 10866072240 in words is "ten billion, eight hundred sixty-six million, seventy-two thousand, two hundred forty".