117035642880000 has 2880 divisors, whose sum is σ = 479513145831720. Its totient is φ = 28378791936000.

The previous prime is 117035642879861. The next prime is 117035642880011. The reversal of 117035642880000 is 88246530711.

117035642880000 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 3 + 564 + 2 + 8 + 80 + 0 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1746800639967 + ... + 1746800640033.

Almost surely, 2^{117035642880000} is an apocalyptic number.

117035642880000 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 117035642880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239756572915860).

117035642880000 is an abundant number, since it is smaller than the sum of its proper divisors (362477502951720).

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

117035642880000 is an frugal number, since it uses more digits than its factorization.

117035642880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 117035642880000 in words is "one hundred seventeen trillion, thirty-five billion, six hundred forty-two million, eight hundred eighty thousand".