117629365754880 has 792 divisors, whose sum is σ = 476777192832720. Its totient is φ = 26736415211520.

The previous prime is 117629365754861. The next prime is 117629365754881. The reversal of 117629365754880 is 88457563926711.

117629365754880 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 2 + 9 + 3 + 6 + 575 + 48 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117629365754799 and 117629365754808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117629365754881) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 404022160 + ... + 404313200.

It is a 1-persistent number, because it is pandigital, but 2⋅117629365754880 = 235258731509760 is not.

Almost surely, 2^{117629365754880} is an apocalyptic number.

117629365754880 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 117629365754880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238388596416360).

117629365754880 is an abundant number, since it is smaller than the sum of its proper divisors (359147827077840).

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

117629365754880 is a wasteful number, since it uses less digits than its factorization.

117629365754880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291265 (or 291237 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 117629365754880 in words is "one hundred seventeen trillion, six hundred twenty-nine billion, three hundred sixty-five million, seven hundred fifty-four thousand, eight hundred eighty".