2553085865160 has 192 divisors, whose sum is σ = 9023068969200. Its totient is φ = 623456206848.

The previous prime is 2553085865153. The next prime is 2553085865167. The reversal of 2553085865160 is 615685803552.

2553085865160 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 0 + 8 + 586 + 51 + 6 + 0 = 666.

2553085865160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2553085865153) and next prime (2553085865167).

It can be written as a sum of positive squares in 8 ways, for example, as 1316439559044 + 1236646306116 = 1147362^2 + 1112046^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2553085865097 and 2553085865106.

It is not an unprimeable number, because it can be changed into a prime (2553085865167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5411005 + ... + 5863884.

Almost surely, 2^{2553085865160} is an apocalyptic number.

2553085865160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2553085865160 is an abundant number, since it is smaller than the sum of its proper divisors (6469983104040).

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

2553085865160 is a wasteful number, since it uses less digits than its factorization.

2553085865160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11274960 (or 11274953 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 2553085865160 in words is "two trillion, five hundred fifty-three billion, eighty-five million, eight hundred sixty-five thousand, one hundred sixty".