2753057211168 has 384 divisors, whose sum is σ = 8413985341440. Its totient is φ = 779854648320.

The previous prime is 2753057211167. The next prime is 2753057211217. The reversal of 2753057211168 is 8611127503572.

2753057211168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2753057211167) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035371823 + ... + 1035374481.

It is an arithmetic number, because the mean of its divisors is an integer number (21911420160).

Almost surely, 2^{2753057211168} 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 2753057211168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4206992670720).

2753057211168 is an abundant number, since it is smaller than the sum of its proper divisors (5660928130272).

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

2753057211168 is a wasteful number, since it uses less digits than its factorization.

2753057211168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3660 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 48.

The spelling of 2753057211168 in words is "two trillion, seven hundred fifty-three billion, fifty-seven million, two hundred eleven thousand, one hundred sixty-eight".