117904386560 has 80 divisors (see below), whose sum is σ = 283101770952. Its totient is φ = 47093760000.

The previous prime is 117904386541. The next prime is 117904386599. The reversal of 117904386560 is 65683409711.

It can be written as a sum of positive squares in 4 ways, for example, as 117797222656 + 107163904 = 343216^2 + 10352^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 117904386499 and 117904386508.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1761710 + ... + 1827410.

Almost surely, 2^117904386560 is an apocalyptic number.

117904386560 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 117904386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141550885476).

117904386560 is an abundant number, since it is smaller than the sum of its proper divisors (165197384392).

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

117904386560 is an frugal number, since it uses more digits than its factorization.

117904386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66425 (or 66409 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 117904386560 in words is "one hundred seventeen billion, nine hundred four million, three hundred eighty-six thousand, five hundred sixty".