117588608640 has 192 divisors, whose sum is σ = 406256352840. Its totient is φ = 31340888064.

The previous prime is 117588608591. The next prime is 117588608647. The reversal of 117588608640 is 46806885711.

It is a happy number.

117588608640 is a `hidden beast` number, since 1 + 17 + 588 + 6 + 0 + 8 + 6 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 66898787904 + 50689820736 = 258648^2 + 225144^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (117588608647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14931744 + ... + 14939616.

Almost surely, 2^117588608640 is an apocalyptic number.

117588608640 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 117588608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203128176420).

117588608640 is an abundant number, since it is smaller than the sum of its proper divisors (288667744200).

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

117588608640 is a wasteful number, since it uses less digits than its factorization.

117588608640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10491 (or 10476 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 54.

The spelling of 117588608640 in words is "one hundred seventeen billion, five hundred eighty-eight million, six hundred eight thousand, six hundred forty".