2870855809600 has 63 divisors (see below), whose sum is σ = 7064266347817. Its totient is φ = 1148315214080.

The previous prime is 2870855809571. The next prime is 2870855809643. The reversal of 2870855809600 is 69085580782.

The square root of 2870855809600 is 1694360.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1033508091456 + 1837347718144 = 1016616^2 + 1355488^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 67753221 + ... + 67795579.

Almost surely, 2^{2870855809600} is an apocalyptic number.

2870855809600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2870855809600 is the 1694360-th square number.

It is an amenable number.

2870855809600 is an abundant number, since it is smaller than the sum of its proper divisors (4193410538217).

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

2870855809600 is an frugal number, since it uses more digits than its factorization.

2870855809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84740 (or 42366 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 2870855809600 in words is "two trillion, eight hundred seventy billion, eight hundred fifty-five million, eight hundred nine thousand, six hundred".