109120615579008 has 2560 divisors, whose sum is σ = 395487442944000. Its totient is φ = 29742550548480.

The previous prime is 109120615579007. The next prime is 109120615579013. The reversal of 109120615579008 is 800975516021901.

It is a happy number.

109120615579008 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 2 + 0 + 61 + 5 + 579 + 0 + 0 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109120615579007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 859217445441 + ... + 859217445567.

It is an arithmetic number, because the mean of its divisors is an integer number (154487282400).

Almost surely, 2^{109120615579008} is an apocalyptic number.

109120615579008 is a gapful number since it is divisible by the number (18) 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 109120615579008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197743721472000).

109120615579008 is an abundant number, since it is smaller than the sum of its proper divisors (286366827364992).

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

109120615579008 is a wasteful number, since it uses less digits than its factorization.

109120615579008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 54.

The spelling of 109120615579008 in words is "one hundred nine trillion, one hundred twenty billion, six hundred fifteen million, five hundred seventy-nine thousand, eight".