117930700800 has 468 divisors, whose sum is σ = 460842238584. Its totient is φ = 28586803200.

The previous prime is 117930700793. The next prime is 117930700807. The reversal of 117930700800 is 8007039711.

117930700800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (117930700793) and next prime (117930700807).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (117930700807) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 10131784 + ... + 10143416.

It is an arithmetic number, because the mean of its divisors is an integer number (984705638).

Almost surely, 2^117930700800 is an apocalyptic number.

117930700800 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 117930700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230421119292).

117930700800 is an abundant number, since it is smaller than the sum of its proper divisors (342911537784).

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

117930700800 is a wasteful number, since it uses less digits than its factorization.

117930700800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11684 (or 11654 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 117930700800 in words is "one hundred seventeen billion, nine hundred thirty million, seven hundred thousand, eight hundred".