109011878976 has 1008 divisors, whose sum is σ = 415098390528. Its totient is φ = 24908083200.

The previous prime is 109011878959. The next prime is 109011878977. The reversal of 109011878976 is 679878110901.

It is not an unprimeable number, because it can be changed into a prime (109011878977) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 402257721 + ... + 402257991.

Almost surely, 2^109011878976 is an apocalyptic number.

109011878976 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 109011878976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207549195264).

109011878976 is an abundant number, since it is smaller than the sum of its proper divisors (306086511552).

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

109011878976 is a wasteful number, since it uses less digits than its factorization.

109011878976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 57.

The spelling of 109011878976 in words is "one hundred nine billion, eleven million, eight hundred seventy-eight thousand, nine hundred seventy-six".