109767430080 has 672 divisors, whose sum is σ = 491205731328. Its totient is φ = 21816115200.

The previous prime is 109767430051. The next prime is 109767430099. The reversal of 109767430080 is 80034767901.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 5089720 + ... + 5111240.

Almost surely, 2^109767430080 is an apocalyptic number.

109767430080 is a gapful number since it is divisible by the number (10) 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 109767430080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245602865664).

109767430080 is an abundant number, since it is smaller than the sum of its proper divisors (381438301248).

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

109767430080 is a wasteful number, since it uses less digits than its factorization.

109767430080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21585 (or 21572 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 109767430080 in words is "one hundred nine billion, seven hundred sixty-seven million, four hundred thirty thousand, eighty".