109979015918625 has 800 divisors, whose sum is σ = 253428300153600. Its totient is φ = 47630009901600.

The previous prime is 109979015918621. The next prime is 109979015918641. The reversal of 109979015918625 is 526819510979901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

109979015918625 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 7 + 9 + 0 + 1 + 591 + 8 + 6 + 25 = 666.

It is not a de Polignac number, because 109979015918625 - 2² = 109979015918621 is a prime.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 109979015918625 = 5985³ + 47880³ = 16929³ + 47196³.

It is not an unprimeable number, because it can be changed into a prime (109979015918621) by changing a digit.

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 799 ways as a sum of consecutive naturals, for example, 5788369258866 + ... + 5788369258884.

It is an arithmetic number, because the mean of its divisors is an integer number (316785375192).

Almost surely, 2^{109979015918625} is an apocalyptic number.

109979015918625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

109979015918625 is an abundant number, since it is smaller than the sum of its proper divisors (143449284234975).

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

109979015918625 is an frugal number, since it uses more digits than its factorization.

109979015918625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 110224800, while the sum is 72.

The spelling of 109979015918625 in words is "one hundred nine trillion, nine hundred seventy-nine billion, fifteen million, nine hundred eighteen thousand, six hundred twenty-five".