109785352320 has 1280 divisors, whose sum is σ = 471752709120. Its totient is φ = 23808245760.

The previous prime is 109785352307. The next prime is 109785352363. The reversal of 109785352320 is 23253587901.

109785352320 is a `hidden beast` number, since 1 + 0 + 9 + 78 + 53 + 523 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 699269682 + ... + 699269838.

It is an arithmetic number, because the mean of its divisors is an integer number (368556804).

Almost surely, 2^109785352320 is an apocalyptic number.

109785352320 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 109785352320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235876354560).

109785352320 is an abundant number, since it is smaller than the sum of its proper divisors (361967356800).

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

109785352320 is a wasteful number, since it uses less digits than its factorization.

109785352320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 109785352320 in words is "one hundred nine billion, seven hundred eighty-five million, three hundred fifty-two thousand, three hundred twenty".