117800148510720 has 2880 divisors, whose sum is σ = 475285146336000. Its totient is φ = 27874280079360.

The previous prime is 117800148510703. The next prime is 117800148510743. The reversal of 117800148510720 is 27015841008711.

117800148510720 is a `hidden beast` number, since 1 + 1 + 78 + 0 + 0 + 1 + 48 + 510 + 7 + 20 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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 239 ways as a sum of consecutive naturals, for example, 591960545181 + ... + 591960545379.

It is an arithmetic number, because the mean of its divisors is an integer number (165029564700).

Almost surely, 2^{117800148510720} is an apocalyptic number.

117800148510720 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 117800148510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237642573168000).

117800148510720 is an abundant number, since it is smaller than the sum of its proper divisors (357484997825280).

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

117800148510720 is a wasteful number, since it uses less digits than its factorization.

117800148510720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 117800148510720 in words is "one hundred seventeen trillion, eight hundred billion, one hundred forty-eight million, five hundred ten thousand, seven hundred twenty".