10866038449140 has 576 divisors, whose sum is σ = 38626685540352. Its totient is φ = 2421178905600.

The previous prime is 10866038449127. The next prime is 10866038449157. The reversal of 10866038449140 is 4194483066801.

10866038449140 is a `hidden beast` number, since 1 + 0 + 86 + 6 + 0 + 38 + 4 + 491 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9279280755 + ... + 9279281925.

It is an arithmetic number, because the mean of its divisors is an integer number (67060217952).

Almost surely, 2^{10866038449140} is an apocalyptic number.

10866038449140 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 10866038449140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313342770176).

10866038449140 is an abundant number, since it is smaller than the sum of its proper divisors (27760647091212).

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

10866038449140 is a wasteful number, since it uses less digits than its factorization.

10866038449140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10866038449140 in words is "ten trillion, eight hundred sixty-six billion, thirty-eight million, four hundred forty-nine thousand, one hundred forty".