2628053588160 has 1792 divisors, whose sum is σ = 12504357089280. Its totient is φ = 501804564480.

The previous prime is 2628053588057. The next prime is 2628053588161. The reversal of 2628053588160 is 618853508262.

2628053588160 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 0 + 53 + 588 + 1 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2628053588097 and 2628053588106.

It is not an unprimeable number, because it can be changed into a prime (2628053588161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2395672732 + ... + 2395673828.

It is an arithmetic number, because the mean of its divisors is an integer number (6977877840).

Almost surely, 2^{2628053588160} is an apocalyptic number.

2628053588160 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 2628053588160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6252178544640).

2628053588160 is an abundant number, since it is smaller than the sum of its proper divisors (9876303501120).

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

2628053588160 is a wasteful number, since it uses less digits than its factorization.

2628053588160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 2628053588160 in words is "two trillion, six hundred twenty-eight billion, fifty-three million, five hundred eighty-eight thousand, one hundred sixty".