10981495761600 has 1008 divisors, whose sum is σ = 45184303332000. Its totient is φ = 2314422190080.

The previous prime is 10981495761583. The next prime is 10981495761673. The reversal of 10981495761600 is 616759418901.

It is a happy number.

10981495761600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4308157126 + ... + 4308159674.

It is an arithmetic number, because the mean of its divisors is an integer number (44825697750).

Almost surely, 2^{10981495761600} is an apocalyptic number.

10981495761600 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 10981495761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592151666000).

10981495761600 is an abundant number, since it is smaller than the sum of its proper divisors (34202807570400).

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

10981495761600 is a wasteful number, since it uses less digits than its factorization.

10981495761600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4010 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 57.

The spelling of 10981495761600 in words is "ten trillion, nine hundred eighty-one billion, four hundred ninety-five million, seven hundred sixty-one thousand, six hundred".