117829411753640 has 64 divisors (see below), whose sum is σ = 268132422776400. Its totient is φ = 46595690938368.

The previous prime is 117829411753621. The next prime is 117829411753679. The reversal of 117829411753640 is 46357114928711.

It can be written as a sum of positive squares in 8 ways, for example, as 19589954010916 + 98239457742724 = 4426054^2 + 9911582^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117829411753640.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23244272 + ... + 27855968.

It is a 1-persistent number, because it is pandigital, but 2⋅117829411753640 = 235658823507280 is not.

Almost surely, 2^{117829411753640} is an apocalyptic number.

117829411753640 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 117829411753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134066211388200).

117829411753640 is an abundant number, since it is smaller than the sum of its proper divisors (150303011022760).

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

117829411753640 is a wasteful number, since it uses less digits than its factorization.

117829411753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618974 (or 4618970 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 59.

The spelling of 117829411753640 in words is "one hundred seventeen trillion, eight hundred twenty-nine billion, four hundred eleven million, seven hundred fifty-three thousand, six hundred forty".