117757661760 has 448 divisors, whose sum is σ = 440843212800. Its totient is φ = 29488840704.

The previous prime is 117757661717. The next prime is 117757661771. The reversal of 117757661760 is 67166757711.

117757661760 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 576 + 6 + 1 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 117757661697 and 117757661706.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126756976 + ... + 126757904.

Almost surely, 2^117757661760 is an apocalyptic number.

117757661760 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 117757661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220421606400).

117757661760 is an abundant number, since it is smaller than the sum of its proper divisors (323085551040).

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

117757661760 is a wasteful number, since it uses less digits than its factorization.

117757661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 2593080, while the sum is 54.

The spelling of 117757661760 in words is "one hundred seventeen billion, seven hundred fifty-seven million, six hundred sixty-one thousand, seven hundred sixty".