1217068904160 has 384 divisors, whose sum is σ = 4519488960000. Its totient is φ = 304839106560.

The previous prime is 1217068904141. The next prime is 1217068904231. The reversal of 1217068904160 is 614098607121.

1217068904160 is a `hidden beast` number, since 1 + 2 + 170 + 68 + 9 + 0 + 416 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 36629955 + ... + 36663165.

It is an arithmetic number, because the mean of its divisors is an integer number (11769502500).

Almost surely, 2^{1217068904160} is an apocalyptic number.

1217068904160 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 1217068904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2259744480000).

1217068904160 is an abundant number, since it is smaller than the sum of its proper divisors (3302420055840).

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

1217068904160 is a wasteful number, since it uses less digits than its factorization.

1217068904160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33751 (or 33737 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 1217068904160 in words is "one trillion, two hundred seventeen billion, sixty-eight million, nine hundred four thousand, one hundred sixty".