10981886329920 has 896 divisors, whose sum is σ = 39049525444608. Its totient is φ = 2592630374400.

The previous prime is 10981886329913. The next prime is 10981886329943. The reversal of 10981886329920 is 2992368818901.

It is a happy number.

10981886329920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33177904155 + ... + 33177904485.

It is an arithmetic number, because the mean of its divisors is an integer number (43582059648).

Almost surely, 2^{10981886329920} is an apocalyptic number.

10981886329920 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 10981886329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19524762722304).

10981886329920 is an abundant number, since it is smaller than the sum of its proper divisors (28067639114688).

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

10981886329920 is a wasteful number, since it uses less digits than its factorization.

10981886329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 66.

The spelling of 10981886329920 in words is "ten trillion, nine hundred eighty-one billion, eight hundred eighty-six million, three hundred twenty-nine thousand, nine hundred twenty".