117897408000 has 480 divisors, whose sum is σ = 427210692480. Its totient is φ = 31249612800.

The previous prime is 117897407993. The next prime is 117897408011. The reversal of 117897408000 is 804798711.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113471481 + ... + 113472519.

It is an arithmetic number, because the mean of its divisors is an integer number (890022276).

Almost surely, 2^117897408000 is an apocalyptic number.

117897408000 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 117897408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213605346240).

117897408000 is an abundant number, since it is smaller than the sum of its proper divisors (309313284480).

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

117897408000 is a wasteful number, since it uses less digits than its factorization.

117897408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 117897408000 in words is "one hundred seventeen billion, eight hundred ninety-seven million, four hundred eight thousand".