109866240000 has 1440 divisors, whose sum is σ = 471286015200. Its totient is φ = 25067520000.

The previous prime is 109866239993. The next prime is 109866240007. The reversal of 109866240000 is 42668901.

It is an interprime number because it is at equal distance from previous prime (109866239993) and next prime (109866240007).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (109866240007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6462719992 + ... + 6462720008.

It is an arithmetic number, because the mean of its divisors is an integer number (327281955).

Almost surely, 2^109866240000 is an apocalyptic number.

109866240000 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 109866240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235643007600).

109866240000 is an abundant number, since it is smaller than the sum of its proper divisors (361419775200).

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

109866240000 is an equidigital number, since it uses as much as digits as its factorization.

109866240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

It can be divided in two parts, 109866 and 240000, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 109866240000 in words is "one hundred nine billion, eight hundred sixty-six million, two hundred forty thousand".