2725643520000 has 1680 divisors, whose sum is σ = 10738566558720. Its totient is φ = 689762304000.

The previous prime is 2725643519969. The next prime is 2725643520029. The reversal of 2725643520000 is 253465272.

2725643520000 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 643 + 5 + 2 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 21461759937 + ... + 21461760063.

It is an arithmetic number, because the mean of its divisors is an integer number (6392003904).

Almost surely, 2^{2725643520000} is an apocalyptic number.

2725643520000 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 2725643520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5369283279360).

2725643520000 is an abundant number, since it is smaller than the sum of its proper divisors (8012923038720).

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

2725643520000 is an frugal number, since it uses more digits than its factorization.

2725643520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 2725643520000 its reverse (253465272), we get a palindrome (2725896985272).

The spelling of 2725643520000 in words is "two trillion, seven hundred twenty-five billion, six hundred forty-three million, five hundred twenty thousand".