109680652800 has 240 divisors, whose sum is σ = 402582581280. Its totient is φ = 29248081920.

The previous prime is 109680652771. The next prime is 109680652843. The reversal of 109680652800 is 8256086901.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 186919 + ... + 504281.

It is an arithmetic number, because the mean of its divisors is an integer number (1677427422).

Almost surely, 2^109680652800 is an apocalyptic number.

109680652800 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 109680652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201291290640).

109680652800 is an abundant number, since it is smaller than the sum of its proper divisors (292901928480).

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

109680652800 is an equidigital number, since it uses as much as digits as its factorization.

109680652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317400 (or 317373 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 109680652800 in words is "one hundred nine billion, six hundred eighty million, six hundred fifty-two thousand, eight hundred".