117831256489600 has 384 divisors, whose sum is σ = 307501818624000. Its totient is φ = 44491526553600.

The previous prime is 117831256489553. The next prime is 117831256489621. The reversal of 117831256489600 is 6984652138711.

117831256489600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117831256489600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33276263830 + ... + 33276267370.

It is an arithmetic number, because the mean of its divisors is an integer number (800785986000).

It is a 1-persistent number, because it is pandigital, but 2⋅117831256489600 = 235662512979200 is not.

Almost surely, 2^{117831256489600} is an apocalyptic number.

117831256489600 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 117831256489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153750909312000).

117831256489600 is an abundant number, since it is smaller than the sum of its proper divisors (189670562134400).

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

117831256489600 is a wasteful number, since it uses less digits than its factorization.

117831256489600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5396 (or 5379 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 61.

The spelling of 117831256489600 in words is "one hundred seventeen trillion, eight hundred thirty-one billion, two hundred fifty-six million, four hundred eighty-nine thousand, six hundred".