2085549802560 has 448 divisors, whose sum is σ = 8635670653440. Its totient is φ = 463812894720.

The previous prime is 2085549802547. The next prime is 2085549802621. The reversal of 2085549802560 is 652089455802.

2085549802560 is a `hidden beast` number, since 2 + 0 + 8 + 554 + 9 + 8 + 0 + 25 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 2085549802497 and 2085549802506.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1771770 + ... + 2703750.

Almost surely, 2^{2085549802560} is an apocalyptic number.

2085549802560 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 2085549802560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317835326720).

2085549802560 is an abundant number, since it is smaller than the sum of its proper divisors (6550120850880).

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

2085549802560 is a wasteful number, since it uses less digits than its factorization.

2085549802560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932051 (or 932035 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 2085549802560 in words is "two trillion, eighty-five billion, five hundred forty-nine million, eight hundred two thousand, five hundred sixty".