10985366240992 has 576 divisors, whose sum is σ = 28239307992000. Its totient is φ = 4159011225600.

The previous prime is 10985366240983. The next prime is 10985366241053. The reversal of 10985366240992 is 29904266358901.

It is a super-3 number, since 3×10985366240992³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 3697530067 + ... + 3697533037.

It is an arithmetic number, because the mean of its divisors is an integer number (49026576375).

Almost surely, 2^{10985366240992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10985366240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14119653996000).

10985366240992 is an abundant number, since it is smaller than the sum of its proper divisors (17253941751008).

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

10985366240992 is a wasteful number, since it uses less digits than its factorization.

10985366240992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3192 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

The spelling of 10985366240992 in words is "ten trillion, nine hundred eighty-five billion, three hundred sixty-six million, two hundred forty thousand, nine hundred ninety-two".