109532487461280 has 768 divisors, whose sum is σ = 392370071708160. Its totient is φ = 25461596160000.

The previous prime is 109532487461269. The next prime is 109532487461357. The reversal of 109532487461280 is 82164784235901.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 84190996630 + ... + 84190997930.

It is an arithmetic number, because the mean of its divisors is an integer number (510898530870).

It is a 1-persistent number, because it is pandigital, but 2⋅109532487461280 = 219064974922560 is not.

Almost surely, 2^{109532487461280} is an apocalyptic number.

109532487461280 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 109532487461280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196185035854080).

109532487461280 is an abundant number, since it is smaller than the sum of its proper divisors (282837584246880).

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

109532487461280 is a wasteful number, since it uses less digits than its factorization.

109532487461280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 109532487461280 in words is "one hundred nine trillion, five hundred thirty-two billion, four hundred eighty-seven million, four hundred sixty-one thousand, two hundred eighty".