2079911468160 has 640 divisors, whose sum is σ = 7926052147200. Its totient is φ = 518235439104.

The previous prime is 2079911468113. The next prime is 2079911468209. The reversal of 2079911468160 is 618641199702.

2079911468160 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 9 + 11 + 468 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 2079911468097 and 2079911468106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 71887617 + ... + 71916543.

It is an arithmetic number, because the mean of its divisors is an integer number (12384456480).

Almost surely, 2^{2079911468160} is an apocalyptic number.

2079911468160 is a gapful number since it is divisible by the number (20) 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 2079911468160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963026073600).

2079911468160 is an abundant number, since it is smaller than the sum of its proper divisors (5846140679040).

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

2079911468160 is a wasteful number, since it uses less digits than its factorization.

2079911468160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29050 (or 29029 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 2079911468160 in words is "two trillion, seventy-nine billion, nine hundred eleven million, four hundred sixty-eight thousand, one hundred sixty".