117189370800 has 360 divisors, whose sum is σ = 434888326080. Its totient is φ = 29119488000.

The previous prime is 117189370787. The next prime is 117189370807. The reversal of 117189370800 is 8073981711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (117189370807) 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, 6171721 + ... + 6190679.

It is an arithmetic number, because the mean of its divisors is an integer number (1208023128).

Almost surely, 2^117189370800 is an apocalyptic number.

117189370800 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 117189370800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217444163040).

117189370800 is an abundant number, since it is smaller than the sum of its proper divisors (317698955280).

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

117189370800 is a wasteful number, since it uses less digits than its factorization.

117189370800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19087 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 45.

The spelling of 117189370800 in words is "one hundred seventeen billion, one hundred eighty-nine million, three hundred seventy thousand, eight hundred".