117681379200 has 2304 divisors, whose sum is σ = 578266560000. Its totient is φ = 23166259200.

The previous prime is 117681379199. The next prime is 117681379217. The reversal of 117681379200 is 2973186711.

117681379200 is a `hidden beast` number, since 1 + 1 + 76 + 8 + 1 + 379 + 200 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6193756791 + ... + 6193756809.

It is an arithmetic number, because the mean of its divisors is an integer number (250983750).

Almost surely, 2^117681379200 is an apocalyptic number.

117681379200 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 117681379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289133280000).

117681379200 is an abundant number, since it is smaller than the sum of its proper divisors (460585180800).

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

117681379200 is a wasteful number, since it uses less digits than its factorization.

117681379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 47 counting only the distinct ones).

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

The spelling of 117681379200 in words is "one hundred seventeen billion, six hundred eighty-one million, three hundred seventy-nine thousand, two hundred".