109332478080 has 1280 divisors, whose sum is σ = 486255052800. Its totient is φ = 22836805632.

The previous prime is 109332477997. The next prime is 109332478081. The reversal of 109332478080 is 80874233901.

109332478080 is a `hidden beast` number, since 10 + 93 + 3 + 2 + 478 + 0 + 80 = 666.

It is a super-2 number, since 2×109332478080² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (109332478081) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 228251281 + ... + 228251759.

It is an arithmetic number, because the mean of its divisors is an integer number (379886760).

Almost surely, 2^109332478080 is an apocalyptic number.

109332478080 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 109332478080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243127526400).

109332478080 is an abundant number, since it is smaller than the sum of its proper divisors (376922574720).

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

109332478080 is a wasteful number, since it uses less digits than its factorization.

109332478080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 109332478080 in words is "one hundred nine billion, three hundred thirty-two million, four hundred seventy-eight thousand, eighty".