109336780800 has 1008 divisors, whose sum is σ = 439980537360. Its totient is φ = 26913669120.

The previous prime is 109336780769. The next prime is 109336780853. The reversal of 109336780800 is 8087633901.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8410521594 + ... + 8410521606.

Almost surely, 2^109336780800 is an apocalyptic number.

109336780800 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 109336780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219990268680).

109336780800 is an abundant number, since it is smaller than the sum of its proper divisors (330643756560).

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

109336780800 is an frugal number, since it uses more digits than its factorization.

109336780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 109336780800 in words is "one hundred nine billion, three hundred thirty-six million, seven hundred eighty thousand, eight hundred".