1168006210560 has 2640 divisors, whose sum is σ = 5409627140736. Its totient is φ = 240343842816.

The previous prime is 1168006210519. The next prime is 1168006210573. The reversal of 1168006210560 is 650126008611.

1168006210560 is a `hidden beast` number, since 1 + 1 + 6 + 80 + 0 + 6 + 2 + 10 + 560 = 666.

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 239 ways as a sum of consecutive naturals, for example, 50782878709 + ... + 50782878731.

Almost surely, 2^{1168006210560} is an apocalyptic number.

1168006210560 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 1168006210560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704813570368).

1168006210560 is an abundant number, since it is smaller than the sum of its proper divisors (4241620930176).

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

1168006210560 is an frugal number, since it uses more digits than its factorization.

1168006210560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 1168006210560 in words is "one trillion, one hundred sixty-eight billion, six million, two hundred ten thousand, five hundred sixty".