10985005109988 has 576 divisors, whose sum is σ = 36156991782912. Its totient is φ = 2734045332480.

The previous prime is 10985005109959. The next prime is 10985005110011. The reversal of 10985005109988 is 88990150058901.

It is a happy number.

10985005109988 is a `hidden beast` number, since 10 + 9 + 8 + 500 + 5 + 109 + 9 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 3305747695 + ... + 3305751017.

Almost surely, 2^{10985005109988} is an apocalyptic number.

10985005109988 is a gapful number since it is divisible by the number (18) 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 10985005109988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18078495891456).

10985005109988 is an abundant number, since it is smaller than the sum of its proper divisors (25171986672924).

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

10985005109988 is a wasteful number, since it uses less digits than its factorization.

10985005109988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4179 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 63.

The spelling of 10985005109988 in words is "ten trillion, nine hundred eighty-five billion, five million, one hundred nine thousand, nine hundred eighty-eight".