2551543200160 has 96 divisors (see below), whose sum is σ = 6439094322192. Its totient is φ = 952080138240.

The previous prime is 2551543200133. The next prime is 2551543200187. The reversal of 2551543200160 is 610023451552.

It is an interprime number because it is at equal distance from previous prime (2551543200133) and next prime (2551543200187).

It can be written as a sum of positive squares in 8 ways, for example, as 847776879504 + 1703766320656 = 920748^2 + 1305284^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3843381 + ... + 4458100.

Almost surely, 2^{2551543200160} is an apocalyptic number.

2551543200160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2551543200160 is an abundant number, since it is smaller than the sum of its proper divisors (3887551122032).

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

2551543200160 is a wasteful number, since it uses less digits than its factorization.

2551543200160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301626 (or 8301618 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 2551543200160 in words is "two trillion, five hundred fifty-one billion, five hundred forty-three million, two hundred thousand, one hundred sixty".