109879656404016 has 320 divisors, whose sum is σ = 313049013580800. Its totient is φ = 33101066600448.

The previous prime is 109879656403997. The next prime is 109879656404059. The reversal of 109879656404016 is 610404656978901.

It is a super-2 number, since 2×109879656404016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 276195355 + ... + 276592901.

It is an arithmetic number, because the mean of its divisors is an integer number (978278167440).

Almost surely, 2^{109879656404016} is an apocalyptic number.

109879656404016 is a gapful number since it is divisible by the number (16) 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 109879656404016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156524506790400).

109879656404016 is an abundant number, since it is smaller than the sum of its proper divisors (203169357176784).

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

109879656404016 is a wasteful number, since it uses less digits than its factorization.

109879656404016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397796 (or 397790 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 109879656404016 in words is "one hundred nine trillion, eight hundred seventy-nine billion, six hundred fifty-six million, four hundred four thousand, sixteen".