2725752399552 has 1344 divisors, whose sum is σ = 10577084743680. Its totient is φ = 675850604544.

The previous prime is 2725752399473. The next prime is 2725752399577. The reversal of 2725752399552 is 2559932575272.

2725752399552 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 75 + 2 + 3 + 9 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×2725752399552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (119070000) is a multiple of the sum of its prime factors (840).

It is a self number, because there is not a number n which added to its sum of digits gives 2725752399552.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4490530833 + ... + 4490531439.

It is an arithmetic number, because the mean of its divisors is an integer number (7869854720).

Almost surely, 2^{2725752399552} 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 2725752399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288542371840).

2725752399552 is an abundant number, since it is smaller than the sum of its proper divisors (7851332344128).

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

2725752399552 is a wasteful number, since it uses less digits than its factorization.

2725752399552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 818 counting only the distinct ones).

The product of its digits is 119070000, while the sum is 63.

The spelling of 2725752399552 in words is "two trillion, seven hundred twenty-five billion, seven hundred fifty-two million, three hundred ninety-nine thousand, five hundred fifty-two".