2753166661632 has 480 divisors, whose sum is σ = 8733396672000. Its totient is φ = 861145399296.

The previous prime is 2753166661577. The next prime is 2753166661667. The reversal of 2753166661632 is 2361666613572.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1080095494 + ... + 1080098042.

It is an arithmetic number, because the mean of its divisors is an integer number (18194576400).

Almost surely, 2^{2753166661632} 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 2753166661632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4366698336000).

2753166661632 is an abundant number, since it is smaller than the sum of its proper divisors (5980230010368).

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

2753166661632 is a wasteful number, since it uses less digits than its factorization.

2753166661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2954 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 54.

The spelling of 2753166661632 in words is "two trillion, seven hundred fifty-three billion, one hundred sixty-six million, six hundred sixty-one thousand, six hundred thirty-two".