109853427226140 has 576 divisors, whose sum is σ = 395228066688000. Its totient is φ = 25373234810880.

The previous prime is 109853427226139. The next prime is 109853427226177. The reversal of 109853427226140 is 41622724358901.

It is a happy number.

109853427226140 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 53 + 427 + 2 + 26 + 140 = 666.

109853427226140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 355359361 + ... + 355668359.

It is an arithmetic number, because the mean of its divisors is an integer number (686159838000).

It is a 1-persistent number, because it is pandigital, but 2⋅109853427226140 = 219706854452280 is not.

Almost surely, 2^{109853427226140} is an apocalyptic number.

109853427226140 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 109853427226140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197614033344000).

109853427226140 is an abundant number, since it is smaller than the sum of its proper divisors (285374639461860).

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

109853427226140 is a wasteful number, since it uses less digits than its factorization.

109853427226140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309384 (or 309370 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 109853427226140 in words is "one hundred nine trillion, eight hundred fifty-three billion, four hundred twenty-seven million, two hundred twenty-six thousand, one hundred forty".