109775554560 has 1440 divisors, whose sum is σ = 476519523480. Its totient is φ = 24078974976.

The previous prime is 109775554543. The next prime is 109775554561. The reversal of 109775554560 is 65455577901.

109775554560 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 75 + 5 + 5 + 4 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105349579776 + 4425974784 = 324576^2 + 66528^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 109775554497 and 109775554506.

It is not an unprimeable number, because it can be changed into a prime (109775554561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1503774684 + ... + 1503774756.

Almost surely, 2^109775554560 is an apocalyptic number.

109775554560 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 109775554560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238259761740).

109775554560 is an abundant number, since it is smaller than the sum of its proper divisors (366743968920).

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

109775554560 is an equidigital number, since it uses as much as digits as its factorization.

109775554560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 6615000, while the sum is 54.

The spelling of 109775554560 in words is "one hundred nine billion, seven hundred seventy-five million, five hundred fifty-four thousand, five hundred sixty".