117559171888128 has 880 divisors, whose sum is σ = 375531663538944. Its totient is φ = 36503216455680.

The previous prime is 117559171888117. The next prime is 117559171888129. The reversal of 117559171888128 is 821888171955711.

117559171888128 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 591 + 7 + 1 + 8 + 8 + 8 + 1 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117559171888129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 106581297625 + ... + 106581298727.

Almost surely, 2^{117559171888128} is an apocalyptic number.

117559171888128 is a gapful number since it is divisible by the number (18) 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 117559171888128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187765831769472).

117559171888128 is an abundant number, since it is smaller than the sum of its proper divisors (257972491650816).

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

117559171888128 is a wasteful number, since it uses less digits than its factorization.

117559171888128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860 (or 1833 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 72.

The spelling of 117559171888128 in words is "one hundred seventeen trillion, five hundred fifty-nine billion, one hundred seventy-one million, eight hundred eighty-eight thousand, one hundred twenty-eight".