2085700548672 has 336 divisors, whose sum is σ = 6862823968000. Its totient is φ = 600278335488.

The previous prime is 2085700548647. The next prime is 2085700548697. The reversal of 2085700548672 is 2768450075802.

2085700548672 is a `hidden beast` number, since 2 + 0 + 8 + 570 + 0 + 5 + 4 + 8 + 67 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2085700548647) and next prime (2085700548697).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11146704 + ... + 11332272.

Almost surely, 2^{2085700548672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2085700548672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431411984000).

2085700548672 is an abundant number, since it is smaller than the sum of its proper divisors (4777123419328).

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

2085700548672 is a wasteful number, since it uses less digits than its factorization.

2085700548672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185698 (or 185685 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 2085700548672 in words is "two trillion, eighty-five billion, seven hundred million, five hundred forty-eight thousand, six hundred seventy-two".