2553558168 has 256 divisors, whose sum is σ = 8024832000. Its totient is φ = 674365440.

The previous prime is 2553558127. The next prime is 2553558169. The reversal of 2553558168 is 8618553552.

Its product of digits (1440000) is a multiple of the sum of its prime factors (375).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2553558169) 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, 9935896 + ... + 9936152.

It is an arithmetic number, because the mean of its divisors is an integer number (31347000).

Almost surely, 2^2553558168 is an apocalyptic number.

2553558168 is a gapful number since it is divisible by the number (28) 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 2553558168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4012416000).

2553558168 is an abundant number, since it is smaller than the sum of its proper divisors (5471273832).

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

2553558168 is a wasteful number, since it uses less digits than its factorization.

2553558168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 48.

The square root of 2553558168 is about 50532.7435233829. The cubic root of 2553558168 is about 1366.8323583631.

The spelling of 2553558168 in words is "two billion, five hundred fifty-three million, five hundred fifty-eight thousand, one hundred sixty-eight".