2085556717800 has 120 divisors (see below), whose sum is σ = 7243447508550. Its totient is φ = 556148453760.

The previous prime is 2085556717763. The next prime is 2085556717801. The reversal of 2085556717800 is 87176555802.

2085556717800 is a `hidden beast` number, since 2 + 0 + 8 + 5 + 5 + 567 + 1 + 78 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1405832319684 + 679724398116 = 1185678^2 + 824454^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2085556717801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64352835 + ... + 64385234.

Almost surely, 2^{2085556717800} is an apocalyptic number.

2085556717800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2085556717800 is an abundant number, since it is smaller than the sum of its proper divisors (5157890790750).

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

2085556717800 is a wasteful number, since it uses less digits than its factorization.

2085556717800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128738097 (or 128738079 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 2085556717800 in words is "two trillion, eighty-five billion, five hundred fifty-six million, seven hundred seventeen thousand, eight hundred".