2725132435520 has 224 divisors, whose sum is σ = 7310472625152. Its totient is φ = 958602240000.

The previous prime is 2725132435511. The next prime is 2725132435559. The reversal of 2725132435520 is 255342315272.

It is a super-3 number, since 3×2725132435520³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464957390 + ... + 464963250.

Almost surely, 2^{2725132435520} is an apocalyptic number.

2725132435520 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 2725132435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655236312576).

2725132435520 is an abundant number, since it is smaller than the sum of its proper divisors (4585340189632).

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

2725132435520 is a wasteful number, since it uses less digits than its factorization.

2725132435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10171 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 41.

The spelling of 2725132435520 in words is "two trillion, seven hundred twenty-five billion, one hundred thirty-two million, four hundred thirty-five thousand, five hundred twenty".