109179487872 has 768 divisors, whose sum is σ = 424774022400. Its totient is φ = 27088846848.

The previous prime is 109179487829. The next prime is 109179487897. The reversal of 109179487872 is 278784971901.

109179487872 is a `hidden beast` number, since 1 + 0 + 9 + 1 + 79 + 487 + 87 + 2 = 666.

It is a super-3 number, since 3×109179487872³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48116754 + ... + 48119022.

It is an arithmetic number, because the mean of its divisors is an integer number (553091175).

Almost surely, 2^109179487872 is an apocalyptic number.

109179487872 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 109179487872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212387011200).

109179487872 is an abundant number, since it is smaller than the sum of its proper divisors (315594534528).

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

109179487872 is a wasteful number, since it uses less digits than its factorization.

109179487872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 109179487872 in words is "one hundred nine billion, one hundred seventy-nine million, four hundred eighty-seven thousand, eight hundred seventy-two".