2089727856000 has 2048 divisors, whose sum is σ = 8600728780800. Its totient is φ = 496336896000.

The previous prime is 2089727855947. The next prime is 2089727856043. The reversal of 2089727856000 is 6587279802.

It is a happy number.

2089727856000 is a `hidden beast` number, since 2 + 0 + 8 + 9 + 7 + 2 + 78 + 560 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15253487932 + ... + 15253488068.

It is an arithmetic number, because the mean of its divisors is an integer number (4199574600).

Almost surely, 2^{2089727856000} is an apocalyptic number.

2089727856000 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 2089727856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300364390400).

2089727856000 is an abundant number, since it is smaller than the sum of its proper divisors (6511000924800).

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

2089727856000 is a wasteful number, since it uses less digits than its factorization.

2089727856000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 2089727856000 in words is "two trillion, eighty-nine billion, seven hundred twenty-seven million, eight hundred fifty-six thousand".