2079857295360 has 1920 divisors, whose sum is σ = 8666845286400. Its totient is φ = 474699792384.

The previous prime is 2079857295317. The next prime is 2079857295361. The reversal of 2079857295360 is 635927589702.

2079857295360 is a `hidden beast` number, since 2 + 0 + 7 + 9 + 8 + 572 + 9 + 53 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079857295361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 44252282857 + ... + 44252282903.

It is an arithmetic number, because the mean of its divisors is an integer number (4513981920).

Almost surely, 2^{2079857295360} is an apocalyptic number.

2079857295360 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 2079857295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4333422643200).

2079857295360 is an abundant number, since it is smaller than the sum of its proper divisors (6586987991040).

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

2079857295360 is an frugal number, since it uses more digits than its factorization.

2079857295360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 2079857295360 in words is "two trillion, seventy-nine billion, eight hundred fifty-seven million, two hundred ninety-five thousand, three hundred sixty".