117823507200000 has 3456 divisors, whose sum is σ = 514217187993600. Its totient is φ = 26396098560000.

The previous prime is 117823507199989. The next prime is 117823507200019. The reversal of 117823507200000 is 2705328711.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 860025599932 + ... + 860025600068.

It is an arithmetic number, because the mean of its divisors is an integer number (148789695600).

Almost surely, 2^{117823507200000} is an apocalyptic number.

117823507200000 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 117823507200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257108593996800).

117823507200000 is an abundant number, since it is smaller than the sum of its proper divisors (396393680793600).

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

117823507200000 is an frugal number, since it uses more digits than its factorization.

117823507200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 117823507200000 in words is "one hundred seventeen trillion, eight hundred twenty-three billion, five hundred seven million, two hundred thousand".