109387482480288 has 288 divisors, whose sum is σ = 323789564996352. Its totient is φ = 35002273689600.

The previous prime is 109387482480179. The next prime is 109387482480319. The reversal of 109387482480288 is 882084284783901.

109387482480288 is a `hidden beast` number, since 1 + 0 + 9 + 3 + 87 + 48 + 2 + 480 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421569406 + ... + 421828802.

It is an arithmetic number, because the mean of its divisors is an integer number (1124269322904).

Almost surely, 2^{109387482480288} is an apocalyptic number.

109387482480288 is a gapful number since it is divisible by the number (18) 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 109387482480288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161894782498176).

109387482480288 is an abundant number, since it is smaller than the sum of its proper divisors (214402082516064).

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

109387482480288 is a wasteful number, since it uses less digits than its factorization.

109387482480288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260028 (or 260017 counting only the distinct ones).

The product of its (nonzero) digits is 396361728, while the sum is 72.

The spelling of 109387482480288 in words is "one hundred nine trillion, three hundred eighty-seven billion, four hundred eighty-two million, four hundred eighty thousand, two hundred eighty-eight".