117820071936 has 448 divisors, whose sum is σ = 407346912000. Its totient is φ = 33641201664.

The previous prime is 117820071799. The next prime is 117820071947. The reversal of 117820071936 is 639170028711.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 117820071891 and 117820071900.

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 31 ways as a sum of consecutive naturals, for example, 75865336 + ... + 75866888.

It is an arithmetic number, because the mean of its divisors is an integer number (909256500).

Almost surely, 2^117820071936 is an apocalyptic number.

117820071936 is a gapful number since it is divisible by the number (16) 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 117820071936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203673456000).

117820071936 is an abundant number, since it is smaller than the sum of its proper divisors (289526840064).

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

117820071936 is an frugal number, since it uses more digits than its factorization.

117820071936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 117820071936 in words is "one hundred seventeen billion, eight hundred twenty million, seventy-one thousand, nine hundred thirty-six".