2755185282432 has 576 divisors, whose sum is σ = 9383858864640. Its totient is φ = 769025556480.

The previous prime is 2755185282403. The next prime is 2755185282497. The reversal of 2755185282432 is 2342825815572.

2755185282432 is a `hidden beast` number, since 2 + 7 + 5 + 5 + 185 + 28 + 2 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×2755185282432³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 172115773 + ... + 172131779.

It is an arithmetic number, because the mean of its divisors is an integer number (16291421640).

Almost surely, 2^{2755185282432} is an apocalyptic number.

2755185282432 is a gapful number since it is divisible by the number (22) 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 2755185282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691929432320).

2755185282432 is an abundant number, since it is smaller than the sum of its proper divisors (6628673582208).

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

2755185282432 is a wasteful number, since it uses less digits than its factorization.

2755185282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16087 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 54.

The spelling of 2755185282432 in words is "two trillion, seven hundred fifty-five billion, one hundred eighty-five million, two hundred eighty-two thousand, four hundred thirty-two".