117967449600 has 2880 divisors, whose sum is σ = 604667965440. Its totient is φ = 21897216000.

The previous prime is 117967449557. The next prime is 117967449619. The reversal of 117967449600 is 6944769711.

117967449600 is a `hidden beast` number, since 11 + 79 + 6 + 74 + 496 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3805401585 + ... + 3805401615.

Almost surely, 2^117967449600 is an apocalyptic number.

117967449600 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 117967449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302333982720).

117967449600 is an abundant number, since it is smaller than the sum of its proper divisors (486700515840).

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

117967449600 is a wasteful number, since it uses less digits than its factorization.

117967449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 117967449600 in words is "one hundred seventeen billion, nine hundred sixty-seven million, four hundred forty-nine thousand, six hundred".