109616081500800 has 672 divisors, whose sum is σ = 463992343675680. Its totient is φ = 25055100610560.

The previous prime is 109616081500721. The next prime is 109616081500811. The reversal of 109616081500800 is 8005180616901.

109616081500800 is a `hidden beast` number, since 1 + 0 + 9 + 6 + 1 + 60 + 8 + 1 + 500 + 80 + 0 = 666.

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

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 12973239 + ... + 19685961.

Almost surely, 2^{109616081500800} is an apocalyptic number.

109616081500800 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 109616081500800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231996171837840).

109616081500800 is an abundant number, since it is smaller than the sum of its proper divisors (354376262174880).

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

109616081500800 is an frugal number, since it uses more digits than its factorization.

109616081500800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6712772 (or 6712740 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 109616081500800 in words is "one hundred nine trillion, six hundred sixteen billion, eighty-one million, five hundred thousand, eight hundred".