117759248640 has 648 divisors, whose sum is σ = 459749594304. Its totient is φ = 27598233600.

The previous prime is 117759248639. The next prime is 117759248641. The reversal of 117759248640 is 46842957711.

117759248640 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 592 + 4 + 8 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (117759248639) and next prime (117759248641).

It is not an unprimeable number, because it can be changed into a prime (117759248641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 121777437 + ... + 121778403.

Almost surely, 2^117759248640 is an apocalyptic number.

117759248640 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 117759248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229874797152).

117759248640 is an abundant number, since it is smaller than the sum of its proper divisors (341990345664).

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

117759248640 is a wasteful number, since it uses less digits than its factorization.

117759248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 117759248640 in words is "one hundred seventeen billion, seven hundred fifty-nine million, two hundred forty-eight thousand, six hundred forty".