2725744550400 has 360 divisors, whose sum is σ = 9992623845204. Its totient is φ = 709135564800.

The previous prime is 2725744550383. The next prime is 2725744550401. The reversal of 2725744550400 is 40554475272.

2725744550400 is a `hidden beast` number, since 2 + 7 + 2 + 57 + 4 + 4 + 550 + 40 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 673791439104 + 2051953111296 = 820848^2 + 1432464^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (2725744550401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4434652 + ... + 5011748.

Almost surely, 2^{2725744550400} is an apocalyptic number.

2725744550400 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 2725744550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4996311922602).

2725744550400 is an abundant number, since it is smaller than the sum of its proper divisors (7266879294804).

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

2725744550400 is a wasteful number, since it uses less digits than its factorization.

2725744550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577172 (or 577148 counting only the distinct ones).

The product of its (nonzero) digits is 1568000, while the sum is 45.

The spelling of 2725744550400 in words is "two trillion, seven hundred twenty-five billion, seven hundred forty-four million, five hundred fifty thousand, four hundred".