10884139209216 has 960 divisors, whose sum is σ = 42485674492800. Its totient is φ = 2719419236352.

The previous prime is 10884139209173. The next prime is 10884139209233. The reversal of 10884139209216 is 61290293148801.

It is a happy number.

10884139209216 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 413 + 9 + 2 + 0 + 9 + 216 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167279346 + ... + 167344398.

It is an arithmetic number, because the mean of its divisors is an integer number (44255910930).

Almost surely, 2^{10884139209216} is an apocalyptic number.

10884139209216 is a gapful number since it is divisible by the number (16) 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 10884139209216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21242837246400).

10884139209216 is an abundant number, since it is smaller than the sum of its proper divisors (31601535283584).

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

10884139209216 is a wasteful number, since it uses less digits than its factorization.

10884139209216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65126 (or 65097 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 10884139209216 in words is "ten trillion, eight hundred eighty-four billion, one hundred thirty-nine million, two hundred nine thousand, two hundred sixteen".