109085419872 has 768 divisors, whose sum is σ = 406425600000. Its totient is φ = 27956275200.

The previous prime is 109085419823. The next prime is 109085419873. The reversal of 109085419872 is 278914580901.

It is a happy number.

109085419872 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 8 + 541 + 98 + 7 + 2 = 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 (109085419873) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 72771379 + ... + 72772877.

It is an arithmetic number, because the mean of its divisors is an integer number (529200000).

Almost surely, 2^109085419872 is an apocalyptic number.

109085419872 is a gapful number since it is divisible by the number (12) 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 109085419872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800000).

109085419872 is an abundant number, since it is smaller than the sum of its proper divisors (297340180128).

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

109085419872 is a wasteful number, since it uses less digits than its factorization.

109085419872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1592 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 109085419872 in words is "one hundred nine billion, eighty-five million, four hundred nineteen thousand, eight hundred seventy-two".