2725903445760 has 720 divisors, whose sum is σ = 11103225154560. Its totient is φ = 632087470080.

The previous prime is 2725903445729. The next prime is 2725903445761. The reversal of 2725903445760 is 675443095272.

2725903445760 is a `hidden beast` number, since 2 + 7 + 2 + 590 + 3 + 4 + 45 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 2725903445697 and 2725903445706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2725903445761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26179081 + ... + 26282999.

It is an arithmetic number, because the mean of its divisors is an integer number (15421146048).

Almost surely, 2^{2725903445760} is an apocalyptic number.

2725903445760 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 2725903445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5551612577280).

2725903445760 is an abundant number, since it is smaller than the sum of its proper divisors (8377321708800).

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

2725903445760 is a wasteful number, since it uses less digits than its factorization.

2725903445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103986 (or 103963 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 2725903445760 in words is "two trillion, seven hundred twenty-five billion, nine hundred three million, four hundred forty-five thousand, seven hundred sixty".