10886581149696 has 672 divisors, whose sum is σ = 37986900363360. Its totient is φ = 3110200934400.

The previous prime is 10886581149683. The next prime is 10886581149713. The reversal of 10886581149696 is 69694118568801.

10886581149696 is a `hidden beast` number, since 1 + 0 + 8 + 86 + 58 + 1 + 1 + 496 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 877873096 + ... + 877885496.

Almost surely, 2^{10886581149696} is an apocalyptic number.

10886581149696 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 10886581149696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18993450181680).

10886581149696 is an abundant number, since it is smaller than the sum of its proper divisors (27100319213664).

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

10886581149696 is an frugal number, since it uses more digits than its factorization.

10886581149696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12413 counting only the distinct ones).

The product of its (nonzero) digits is 179159040, while the sum is 72.

The spelling of 10886581149696 in words is "ten trillion, eight hundred eighty-six billion, five hundred eighty-one million, one hundred forty-nine thousand, six hundred ninety-six".