109548405120 has 1536 divisors, whose sum is σ = 472591687680. Its totient is φ = 21086208000.

The previous prime is 109548405049. The next prime is 109548405121. The reversal of 109548405120 is 21504845901.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109548405121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2066951014 + ... + 2066951066.

It is an arithmetic number, because the mean of its divisors is an integer number (307676880).

Almost surely, 2^109548405120 is an apocalyptic number.

109548405120 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 109548405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236295843840).

109548405120 is an abundant number, since it is smaller than the sum of its proper divisors (363043282560).

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

109548405120 is a wasteful number, since it uses less digits than its factorization.

109548405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 39.

The spelling of 109548405120 in words is "one hundred nine billion, five hundred forty-eight million, four hundred five thousand, one hundred twenty".