2655729580032 has 384 divisors, whose sum is σ = 8267696236800. Its totient is φ = 841259188224.

The previous prime is 2655729580027. The next prime is 2655729580039. The reversal of 2655729580032 is 2300859275562.

It is a happy number.

2655729580032 is a `hidden beast` number, since 2 + 6 + 5 + 5 + 7 + 29 + 580 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2655729580039) by changing a digit.

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, 87960843 + ... + 87991029.

It is an arithmetic number, because the mean of its divisors is an integer number (21530458950).

Almost surely, 2^{2655729580032} 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 2655729580032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4133848118400).

2655729580032 is an abundant number, since it is smaller than the sum of its proper divisors (5611966656768).

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

2655729580032 is a wasteful number, since it uses less digits than its factorization.

2655729580032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30298 (or 30272 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 2655729580032 in words is "two trillion, six hundred fifty-five billion, seven hundred twenty-nine million, five hundred eighty thousand, thirty-two".