109779353600 has 228 divisors, whose sum is σ = 311275483344. Its totient is φ = 37622906880.

The previous prime is 109779353599. The next prime is 109779353603. The reversal of 109779353600 is 6353977901.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109779353603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45874004 + ... + 45876396.

It is an arithmetic number, because the mean of its divisors is an integer number (1365243348).

Almost surely, 2^109779353600 is an apocalyptic number.

109779353600 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 109779353600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155637741672).

109779353600 is an abundant number, since it is smaller than the sum of its proper divisors (201496129744).

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

109779353600 is an frugal number, since it uses more digits than its factorization.

109779353600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 50.

The spelling of 109779353600 in words is "one hundred nine billion, seven hundred seventy-nine million, three hundred fifty-three thousand, six hundred".