109992960000 has 1680 divisors, whose sum is σ = 510986032128. Its totient is φ = 22118400000.

The previous prime is 109992959953. The next prime is 109992960013. The reversal of 109992960000 is 69299901.

It is a happy number.

109992960000 is a `hidden beast` number, since 10 + 9 + 9 + 9 + 29 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-3 number, since 3×109992960000³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3548159985 + ... + 3548160015.

Almost surely, 2^109992960000 is an apocalyptic number.

109992960000 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 109992960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255493016064).

109992960000 is an abundant number, since it is smaller than the sum of its proper divisors (400993072128).

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

109992960000 is an equidigital number, since it uses as much as digits as its factorization.

109992960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 45.

It can be divided in two parts, 1099929 and 60000, that added together give a square (1159929 = 1077²).

The spelling of 109992960000 in words is "one hundred nine billion, nine hundred ninety-two million, nine hundred sixty thousand".