109825738284288 has 216 divisors, whose sum is σ = 316537824328320. Its totient is φ = 33789622763520.

The previous prime is 109825738284257. The next prime is 109825738284343. The reversal of 109825738284288 is 882482837528901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1879229148 + ... + 1879287588.

Almost surely, 2^{109825738284288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109825738284288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158268912164160).

109825738284288 is an abundant number, since it is smaller than the sum of its proper divisors (206712086044032).

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

109825738284288 is a wasteful number, since it uses less digits than its factorization.

109825738284288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72965 (or 72938 counting only the distinct ones).

The product of its (nonzero) digits is 990904320, while the sum is 75.

The spelling of 109825738284288 in words is "one hundred nine trillion, eight hundred twenty-five billion, seven hundred thirty-eight million, two hundred eighty-four thousand, two hundred eighty-eight".