109930085777232 has 640 divisors, whose sum is σ = 374935202611200. Its totient is φ = 30172746240000.

The previous prime is 109930085777209. The next prime is 109930085777233. The reversal of 109930085777232 is 232777580039901.

109930085777232 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 30 + 0 + 8 + 577 + 7 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 109930085777232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109930085777233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27096395748 + ... + 27096399804.

It is an arithmetic number, because the mean of its divisors is an integer number (585836254080).

Almost surely, 2^{109930085777232} is an apocalyptic number.

109930085777232 is a gapful number since it is divisible by the number (12) 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 109930085777232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187467601305600).

109930085777232 is an abundant number, since it is smaller than the sum of its proper divisors (265005116833968).

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

109930085777232 is a wasteful number, since it uses less digits than its factorization.

109930085777232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5592 (or 5580 counting only the distinct ones).

The product of its (nonzero) digits is 40007520, while the sum is 63.

The spelling of 109930085777232 in words is "one hundred nine trillion, nine hundred thirty billion, eighty-five million, seven hundred seventy-seven thousand, two hundred thirty-two".