117720354286080 has 2880 divisors, whose sum is σ = 545083614915840. Its totient is φ = 23204105551872.

The previous prime is 117720354286063. The next prime is 117720354286133. The reversal of 117720354286080 is 80682453027711.

117720354286080 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 2 + 0 + 3 + 5 + 4 + 28 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 20356274869 + ... + 20356280651.

It is an arithmetic number, because the mean of its divisors is an integer number (189265144068).

Almost surely, 2^{117720354286080} is an apocalyptic number.

117720354286080 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 117720354286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272541807457920).

117720354286080 is an abundant number, since it is smaller than the sum of its proper divisors (427363260629760).

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

117720354286080 is a wasteful number, since it uses less digits than its factorization.

117720354286080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5931 (or 5905 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 117720354286080 in words is "one hundred seventeen trillion, seven hundred twenty billion, three hundred fifty-four million, two hundred eighty-six thousand, eighty".