109424915315520 has 448 divisors, whose sum is σ = 410379264884736. Its totient is φ = 24174183260160.

The previous prime is 109424915315447. The next prime is 109424915315533. The reversal of 109424915315520 is 25513519424901.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×109424915315520² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 165701509 + ... + 166360571.

It is an arithmetic number, because the mean of its divisors is an integer number (916025144832).

Almost surely, 2^{109424915315520} is an apocalyptic number.

109424915315520 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 109424915315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205189632442368).

109424915315520 is an abundant number, since it is smaller than the sum of its proper divisors (300954349569216).

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

109424915315520 is a wasteful number, since it uses less digits than its factorization.

109424915315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659918 (or 659908 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 109424915315520 in words is "one hundred nine trillion, four hundred twenty-four billion, nine hundred fifteen million, three hundred fifteen thousand, five hundred twenty".