2725365980700 has 216 divisors, whose sum is σ = 9406197964800. Its totient is φ = 654519811200.

The previous prime is 2725365980693. The next prime is 2725365980737. The reversal of 2725365980700 is 70895635272.

2725365980700 is a `hidden beast` number, since 27 + 2 + 536 + 5 + 9 + 80 + 7 + 0 + 0 = 666.

2725365980700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 227100 + ... + 2345699.

It is an arithmetic number, because the mean of its divisors is an integer number (43547212800).

Almost surely, 2^{2725365980700} is an apocalyptic number.

2725365980700 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 2725365980700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703098982400).

2725365980700 is an abundant number, since it is smaller than the sum of its proper divisors (6680831984100).

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

2725365980700 is a wasteful number, since it uses less digits than its factorization.

2725365980700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572937 (or 2572927 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 2725365980700 in words is "two trillion, seven hundred twenty-five billion, three hundred sixty-five million, nine hundred eighty thousand, seven hundred".