109981561536000 has 3200 divisors, whose sum is σ = 521281307289600. Its totient is φ = 22849247232000.

The previous prime is 109981561535999. The next prime is 109981561536001. The reversal of 109981561536000 is 635165189901.

109981561536000 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 8 + 15 + 6 + 15 + 3 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (109981561535999) and next prime (109981561536001).

It is a tau number, because it is divible by the number of its divisors (3200).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109981561536001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 19559229189 + ... + 19559234811.

It is an arithmetic number, because the mean of its divisors is an integer number (162900408528).

Almost surely, 2^{109981561536000} is an apocalyptic number.

109981561536000 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 109981561536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260640653644800).

109981561536000 is an abundant number, since it is smaller than the sum of its proper divisors (411299745753600).

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

109981561536000 is an frugal number, since it uses more digits than its factorization.

109981561536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5700 (or 5651 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 109981561536000 in words is "one hundred nine trillion, nine hundred eighty-one billion, five hundred sixty-one million, five hundred thirty-six thousand".