2725605604800 has 252 divisors, whose sum is σ = 10432634725240. Its totient is φ = 670918256640.

The previous prime is 2725605604793. The next prime is 2725605604817. The reversal of 2725605604800 is 84065065272.

2725605604800 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 6 + 0 + 560 + 4 + 80 + 0 = 666.

2725605604800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7092730 + ... + 7467129.

Almost surely, 2^{2725605604800} is an apocalyptic number.

2725605604800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2725605604800 is an abundant number, since it is smaller than the sum of its proper divisors (7707029120440).

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

2725605604800 is a wasteful number, since it uses less digits than its factorization.

2725605604800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559900 (or 14559882 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2725605604800 in words is "two trillion, seven hundred twenty-five billion, six hundred five million, six hundred four thousand, eight hundred".