2725555600128 has 144 divisors (see below), whose sum is σ = 7324143998976. Its totient is φ = 899769569280.

The previous prime is 2725555600123. The next prime is 2725555600171. The reversal of 2725555600128 is 8210065555272.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2725555600123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33257250 + ... + 33339102.

It is an arithmetic number, because the mean of its divisors is an integer number (50862111104).

Almost surely, 2^{2725555600128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2725555600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3662071999488).

2725555600128 is an abundant number, since it is smaller than the sum of its proper divisors (4598588398848).

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

2725555600128 is a wasteful number, since it uses less digits than its factorization.

2725555600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82290 (or 82276 counting only the distinct ones).

The product of its (nonzero) digits is 1680000, while the sum is 48.

The spelling of 2725555600128 in words is "two trillion, seven hundred twenty-five billion, five hundred fifty-five million, six hundred thousand, one hundred twenty-eight".