109319720590080 has 5184 divisors, whose sum is σ = 541776975667200. Its totient is φ = 20035156377600.

The previous prime is 109319720590037. The next prime is 109319720590109. The reversal of 109319720590080 is 80095027913901.

109319720590080 is a `hidden beast` number, since 1 + 0 + 93 + 197 + 205 + 90 + 0 + 80 = 666.

It is a super-2 number, since 2×109319720590080² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 109319720589999 and 109319720590026.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1383793931481 + ... + 1383793931559.

Almost surely, 2^{109319720590080} is an apocalyptic number.

109319720590080 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 109319720590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270888487833600).

109319720590080 is an abundant number, since it is smaller than the sum of its proper divisors (432457255077120).

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

109319720590080 is a wasteful number, since it uses less digits than its factorization.

109319720590080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 109319720590080 in words is "one hundred nine trillion, three hundred nineteen billion, seven hundred twenty million, five hundred ninety thousand, eighty".